Data transmission method and apparatus in multiple antenna system

ABSTRACT

A data transmission method in a multiple antenna system is provided. The method includes: defining a codebook including at least one precoding matrix composed of a plurality of rows and columns, wherein the codebook is at least one of a first type in which all elements of the precoding matrix are non-zero elements, a second type in which any one column of the precoding matrix includes non-zero element and the remaining columns include at least one zero element, and a third type in which all columns of the precoding matrix include at least one zero element; precoding an input symbol by using the defined codebook; and transmitting the precoded symbol.

CROSS-REFERENCE TO RELATED APPLICATIONS

This application is the National Stage filing under 35 U.S.C. 371 ofInternational Application No. PCT/KR2010/000957, filed on Feb. 16, 2010,which claims the benefit of earlier filing date and right of priority toKorean Application No. 10-2010-0013654, filed on Feb. 13, 2010, and alsoclaims the benefit of U.S. Provisional Application Ser. Nos. 61/302,895,filed on Feb. 9, 2010, 61/296,846, filed on Jan. 20, 2010, 61/295,973,filed on Jan. 18, 2010, 61/222,897, filed on Jul. 2, 2009, 61/222,121,filed on Jul. 1, 2009, 61/185,847, filed on Jun. 10, 2009, 61/154,424,filed on Feb. 22, 2009, and 61/152,560, filed on Feb. 13, 2009, thecontents of which are all hereby incorporated by reference herein intheir entirety.

TECHNICAL FIELD

The present invention relates to wireless communications, and moreparticularly, to a data transmission method using multiple antennas.

BACKGROUND ART

To maximize performance and communication capacity of a wirelesscommunication system, a multiple input multiple output (MIMO) system hasdrawn attention in recent years. Being evolved from the conventionaltechnique in which a single transmit (Tx) antenna and a single receive(Rx) antenna are used, a MIMO technique uses multiple Tx antennas andmultiple Rx antennas to improve transfer efficiency of data to betransmitted or received. The MIMO system is also referred to as amultiple antenna system. In the MIMO technique, instead of receiving onewhole message through a single antenna path, data segments are receivedthrough a plurality of antennas and are then collected as one piece ofdata. As a result, a data transfer rate can be improved in a specificrange, or a system range can be increased with respect to a specificdata transfer rate.

The MIMO technique includes transmit diversity, spatial multiplexing,and beamforming. The transmit diversity is a technique in which themultiple Tx antennas transmit the same data so that transmissionreliability increases. The spatial multiplexing is a technique in whichthe multiple Tx antennas simultaneously transmit different data so thatdata can be transmitted at a high speed without increasing a systembandwidth. The beamforming is used to add a weight to multiple antennasaccording to a channel condition so as to increase a signal tointerference plus noise ratio (SINR) of a signal. In this case, theweight can be expressed by a weight vector or a weight matrix, which isrespectively referred to as a precoding vector or a precoding matrix.

The spatial multiplexing is classified into single-user spatialmultiplexing and multi-user spatial multiplexing. The single-userspatial multiplexing is also referred to as a single user MIMO(SU-MIMO). The multi-user spatial multiplexing is also referred to as aspatial division multiple access (SDMA) or a multi user MIMO (MU-MIMO).A capacity of a MIMO channel increases in proportion to the number ofantennas. The MIMO channel can be decomposed into independent channels.If the number of Tx antennas is Nt, and the number of Rx antennas is Nr,then the number of independent channels is Ni where Ni≦min{Nt, Mr}. Eachindependent channel can be referred to as a spatial layer. A rankrepresents the number of non-zero eigen-values of the MIMO channel andcan be defined as the number of spatial streams that can be multiplexed.

The MIMO technique includes a codebook-based precoding scheme. Thecodebook-based precoding scheme performs data precoding by using aprecoding matrix which is the most similar to a MIMO channel amongpredetermined precoding matrices. The use of the codebook-basedprecoding scheme can result in decrease of overhead since a precodingmatrix indicator (PMI) can be transmitted as feedback data. The codebookconsists of a codebook set capable of representing a spatial channel.The number of antennas has to be increased to obtain a higher datatransfer rate. The greater the number of antennas, the greater thenumber of codebook sets used to configure the codebook.

Recently, a user equipment having four antennas is taken into account.Therefore, there is a need for a codebook applicable to the increasednumber of antennas of the user equipment. A new codebook is designed byconsidering the following aspects. (1) A signal having a lowpeak-to-average power ratio (PAPR) in an uplink shall be able to betransmitted, and power shall be effectively used when transmitting thelow-PAPR signal. (2) A signal of some antennas may be transmitted withpower lower than actual power due to an obstacle located right beforesuch as a hand gripping situation, and a preferable antenna for thiscase shall be able to be used selectively. (3) When applying apre-defined downlink codebook to an uplink scenario, a problem caused bya limited maximum output of the user equipment shall be taken inputaccount. In a low geometry, a signal is transmitted by increasing outputpower, and due to a limited output of a power amplifier of the userequipment, a signal having a lower PAPR can be transmitted witheffective power by using a defined downlink codebook. However, Txsymbols are additionally used due to elements of a row of a conventionalcodebook, and thus the PAPR may increase. As such, the codebook of whichthe PAPR is increasing is not suitable in uplink transmission in whichpower is limited.

Accordingly, there is a need to design a codebook suitable for uplinktransmission depending on the number of antennas of a user equipment ina multiple antenna system.

SUMMARY OF INVENTION Technical Problem

The present invention provides a method and apparatus for designing acodebook suitable for uplink transmission and for effectivelytransmitting uplink data by using the codebook.

Technical Solution

According to an aspect of the present invention, a data transmissionmethod in a multiple antenna system is provided. The method includes:defining a codebook including at least one precoding matrix composed ofa plurality of rows and columns, wherein the codebook is at least one ofa first type in which all elements of the precoding matrix are non-zeroelements, a second type in which any one column of the precoding matrixincludes non-zero element and the remaining columns include at least onezero element, and a third type in which all columns of the precodingmatrix include at least one zero element; precoding an input symbol byusing the defined codebook; and transmitting the precoded symbol.

In the aforementioned aspect of the present invention, the codebook maybe a codebook for rank-3 transmission.

In addition, the codebook may be a codebook for 4 transmit antennas.

In addition, the codebook may be a codebook for uplink transmission.

Advantageous Effects

A codebook suitable for uplink transmission through an increased numberof antennas in a multiple antenna system can be provided, thereby beingable to effectively transmit uplink data.

DESCRIPTION OF DRAWINGS

FIG. 1 shows a wireless communication system.

FIG. 2 shows an exemplary structure of a transmitter.

FIG. 3 shows another exemplary structure of a transmitter.

FIG. 4 shows data processing performed between a transmitter and areceiver in a multiple antenna system according to an embodiment of thepresent invention.

FIG. 5 shows exemplary types of a 4 transmit (Tx) rank-3 codebookaccording to an embodiment of the present invention.

FIG. 6 shows a method of configuring a 4Tx rank-3 codebook according toan embodiment of the present invention.

FIG. 7 shows power allocation using a 4Tx rank-3 codebook according toan embodiment of the present invention.

FIG. 8 is a block diagram showing constitutional elements of a userequipment.

MODE FOR INVENTION

FIG. 1 shows a wireless communication system. The wireless communicationsystem can be widely deployed to provide a variety of communicationservices, such as voices, packet data, etc.

The wireless communication system includes at least one user equipment(UE) 10 and a base station (BS) 20. The UE 10 may be fixed or mobile,and may be referred to as another terminology, such as a mobile station(MS), a user terminal (UT), a subscriber station (SS), a wirelessdevice, etc. The BS 20 is generally a fixed station that communicateswith the UE 10 and may be referred to as another terminology, such as anode-B, a base transceiver system (BTS), an access point, etc. There areone or more cells within the coverage of the BS 20.

Hereinafter, a downlink (DL) denotes a communication link from the BS tothe UE, and an uplink (UL) denotes a communication link from the UE tothe BS. In the DL, a transmitter may be a part of the BS 20, and areceiver may be a part of the UE 10. In the UL, the transmitter may be apart of the UE 10, and the receiver may be a part of the BS 20.

The wireless communication system may be a system based on orthogonalfrequency division multiplexing (OFDM)/orthogonal frequency divisionmultiple access (OFDMA). The OFDM uses a plurality of orthogonalsubcarriers. Further, the OFDM uses an orthogonality between inversefast Fourier transform (IFFT) and fast Fourier transform (FFT). Atransmitter transmits data by performing IFFT on the data. A receiverrestores original data by performing FFT on a received signal. Thetransmitter uses IFFT to combine the plurality of subcarriers, and thereceiver uses FFT to split the plurality of subcarriers.

The wireless communication system may be a multiple antenna system. Themultiple antenna system may be a multiple input multiple output (MIMO)system. The multiple antenna system may be a multiple-inputsingle-output (MISO) system, a single-input single-output (SISO) system,or a single-input multiple-output (SIMO) system. The MIMO system uses aplurality of transmit (Tx) antennas and a plurality of receive (Rx)antennas. The MISO system uses a plurality of Tx antennas and one Rxantenna. The SISO system uses one Tx antenna and one Rx antenna. TheSIMO system uses one Tx antenna and a plurality of Rx antennas. Themultiple antenna system can use a scheme using multiple antennas. Incase of a rank 1, the scheme may be space-time coding (STC) (e.g., spacefrequency block code (SFBC) and space time block code (STBC)), cyclicdelay diversity (CDD), frequency switched Tx diversity (FSTD), timeswitched Tx diversity (TSTD), etc. In case of a rank 2 or higher ranks,the scheme may be spatial multiplexing (SM), generalized cyclic delaydiversity (GCDD), selective virtual antenna permutation (S-VAP), etc.The SFBC is a scheme for effectively applying selectivity in a spacedomain and a frequency domain to ensure both a diversity gain and amulti-user scheduling gain in a corresponding dimension. The STBC is ascheme for applying selectivity in the space domain and a time domain.The FSTD is a scheme in which signals transmitted to multiple antennasare divided based on frequency, and the TSTD is a scheme in which thesignals transmitted to the multiple antennas are divided based on time.The SM is a scheme for transmitting different data to each antenna toimprove a transfer rate. The GCDD is a scheme for applying selectivityin the time domain and the frequency domain. The S-VAP is a scheme usinga single precoding matrix, and includes a multi-codeword (MCW) S-VAP formixing multi-codewords to antennas in spatial diversity or spatialmultiplexing and a single codeword (SCW) S-VAP using a single codeword.

FIG. 2 shows an exemplary structure of a transmitter. A transmitter 100includes encoders 110-1, . . . , 110-K, modulators 120-1, . . . , 120-K,a layer mapper 130, a precoder 140, subcarrier mappers 150-1, . . . ,150-K, and OFDM signal generators 160-1, . . . , 160-K. The transmitter100 also includes Nt (Nt>1) Tx antennas 170-1, . . . , 170-Nt.

The encoders 110-1, . . . , 110-K generate coded data by encoding inputdata according to a predetermined coding scheme. The coded data isreferred to as a codeword. A codeword b can be expressed by Equation 1below.b^((q))(0), . . . , b^((q))(M_(bit) ^((q))−1)  [Equation 1]

In Equation 1, q denotes a codeword index, and M_(bit) ^((q)) denotesthe number of bits of the codeword q.

Scrambling is performed on the codeword. A scrambled codeword c can beexpressed by Equation 2 below.c^((q))(0), . . . , c^((q))(M_(bit) ^((q))−1)  [Equation 2]

The modulators 120-1, . . . , 120-K arrange the coded data into symbolsrepresenting locations on a signal constellation. A modulation scheme isnot limited to a specific modulation scheme, and may be an m-phase shiftkeying (m-PSK) or an m-quadrature amplitude modulation (m-QAM). Forexample, the m-PSK may be binary PSK (BPSK), quadrature PSK (QPSK), or8-PSK. The m-QAM may be 16-QAM, 64-QAM, or 256-QAM.

A codeword d arranged to the symbol on the signal constellation can beexpressed by Equation 3 below.d^((q))(0), . . . , d^((q))(M_(symb) ^((q))−1)  [Equation 3]

In Equation 3, M_(symb) ^((q)) denotes the number of symbols of thecodeword q.

The layer mapper 130 defines a layer of an input symbol so that eachantenna can distribute a specific symbol to a path of each antenna. Thelayer is defined as an information path input to the precoder 140. Asymbol x input to the path of each antenna can be expressed by Equation4 below.x(i)=[x ⁽⁰⁾(i) . . . x ^((ν-1))(i)]^(T)  [Equation 4]

In Equation 4, ν denotes the number of layers.

The information path located ahead of the precoder 140 can be called avirtual antenna (or a layer). The precoder 140 processes an input symbolby using a MIMO scheme according to the multiple Tx antennas 170-1, . .. , 170-Nt. The precoder 140 may use codebook-based precoding. Acodebook (e.g., 4Tx rank-3 codebook) generated according to the presentinvention may be used in the codebook-based precoding.

The precoder 140 distributes an antenna-specific symbol to thesubcarrier mappers 150-1, . . . , 150-K for a path of a specificantenna. Each information path transmitted to one antenna by theprecoder 140 by the use of one subcarrier mapper is called a stream. Theantenna may be a physical antenna.

A signal y^((p))(i) sent to each antenna port p can be expressed byEquation 5 below.y(i)=[ . . . y ^((p))(i) . . . ]^(T)  [Equation 5]

The subcarrier mappers 150-1, . . . , 150-K allocate input symbols torelevant subcarriers and then multiplex the resultant symbols accordingto a user. The OFDM signal generators 160-1, . . . , 160-K modulateinput symbols according to an OFDM scheme and then outputs OFDM symbols.The OFDM signal generators 160-1, . . . , 160-K can perform IFFT oninput symbols. A cyclic prefix (CP) may be inserted into a time-domainsymbol which has undergone the IFFT. The OFDM symbols are transmittedthrough the respective Tx antennas 170-1, . . . , 170-Nt.

In the MIMO system, the transmitter 100 can operate in two modes. One isan SCW mode and the other is an MCW mode. In the SCW mode, Tx signalstransmitted through a MIMO channel have the same data rate. In the MCWmode, data transmitted through the MIMO channel is independentlyencoded, and thus the Tx signals can have different data rates. The MCWmode operates when a rank is greater than or equal to 2.

FIG. 3 shows another exemplary structure of a transmitter. Thisstructure can be used for UL transmission using an SC-FDMA accessscheme.

Referring to FIG. 3, a transmitter 200 includes a scrambling unit 210, amodulator 220, a transform precoder 230, a resource element mapper 240,and an SC-FDMA signal generator 250.

The scrambling unit 210 performs scrambling on an input codeword. Thecodeword may have a length corresponding to the number of bitstransmitted through a PUSCH of one subframe. The modulator 220 arrangesthe scrambled codeword to a modulation symbol that expresses a positionon a signal constellation. There is no restriction on the modulationscheme, and thus m-PSK or m-QAM may be used as the modulation scheme.For example, QPSK, 16QAM, 64QAM, etc., can be used as the modulationscheme in the PUSCH.

A codeword d arranged to the modulation symbol on the signalconstellation can be expressed by Equation 6 below.d(0), . . . , d(M_(symb)−1)  [Equation 6]

In Equation 6, M_(symb) denotes the number of modulation symbols of thecodeword d.

The transform precoder 230 divides the codeword d arranged to themodulation symbol on the signal constellation into M_(symb)/M^(PUSCH)_(sc) sets, and matches each set to one SC-FDMA symbol. M^(PUSCH) _(sc)denotes the number of subcarriers included in a bandwidth for ULtransmission, and may correspond to a DFT size. The transform precoder230 generates a DFT symbol in a frequency domain by performing DFTaccording to Equation 7 below.

$\begin{matrix}{{{z( {{l \cdot M_{sc}^{PUSCH}} + k} )} = {\frac{1}{\sqrt{M_{sc}^{PUSCH}}}{\sum\limits_{i = 0}^{M_{sc}^{PUSCH} - 1}\;{{d( {{l \cdot M_{sc}^{PUSCH}} + i} )}{\mathbb{e}}^{{- j}\frac{2\pi\;{\mathbb{i}}\; k}{M_{sc}^{PUSCH}}}}}}}\mspace{20mu}{{k = 0},\ldots\mspace{14mu},{M_{sc}^{PUSCH} - 1}}\mspace{20mu}{{l = 0},\ldots\mspace{14mu},{{M_{symb}/M_{sc}^{PUSCH}} - 1}}} & \lbrack {{Equation}\mspace{14mu} 7} \rbrack\end{matrix}$

In Equation 7, k denotes a frequency-domain index and l denotes atime-domain index. A resource element is denoted by (k,l). A DFT symbolderived from Equation 8 is output such as z(0), . . . , z(M_(symb)−1).When M^(PUSCH) _(RB) denotes the number of resource blocks included in abandwidth scheduled for UL transmission and N^(RB) _(sc) denotes thenumber of subcarriers included in a resource block in the frequencydomain, then it is expressed as M^(PUSCH) _(sc)=M^(PUSCH) _(RB) N^(RB)_(sc). M^(PUSCH) _(RB) is applied as expressed by Equation 8 below.M _(RB) ^(PUSCH)=2^(α) ² ·3^(α) ³ ·5^(α) ⁵ ≦N _(RB) ^(UL)  [Equation 8]

In Equation 8, α₂, α₃, and α₅ belong to a set of non-negative integers.

The resource element mapper 240 maps DFT symbols z(0), . . . ,z(M_(symb)−1) output from the transform precoder 230 to a resourceelement. The SC-FDMA signal generator 250 generates an SC-FDMA signal ofa time domain for each antenna. The SC-FDMA signal is transmittedthrough a Tx antenna.

FIG. 4 shows data processing performed between a transmitter and areceiver in a multiple antenna system according to an embodiment of thepresent invention.

Referring to FIG. 4, the transmitter transmits data to the receiver(step S110). The transmitter performs precoding on an input symbol bydefining a codebook including at least one precoding matrix composed ofa plurality of rows and columns or by using a pre-defined codebook, andthen transmits the precoded symbol, that is, data. In this case, thecodebook can be defined in various types. The types of the codebook willbe described below.

The transmitter may include a scheduler, a channel encoder/mapper, aMIMO encoder, an OFDM modulator, etc. The transmitter may includeNt(Nt>1) Tx antennas. The transmitter may be a part of a BS in adownlink, and may be a part of a UE in an uplink.

The scheduler receives data from N users, and outputs K streams to betransmitted concurrently. The scheduler determines a data transfer rateand a user for transmission using an available radio resource by the useof channel information of each user. The scheduler selects a code rate,a modulation and coding scheme (MCS), etc., by extracting the channelinformation from feedback data. For an operation of a MIMO system, thefeedback data may include control information such as a channel qualityindicator (CQI), channel state information (CSI), a channel covariancematrix, a precoding weight, a channel rank, etc. Examples of the CSIinclude a channel matrix between the transmitter and the receiver, achannel correlation matrix of a channel, a quantized channel matrix, aquantized channel correlation matrix, etc. Examples of the CQI include asignal to noise ratio (SNR) between the transmitter and the receiver, asignal to interference and noise ratio (SINR), etc.

The available radio resource allocated by the scheduler implies a radioresource used at data transmission in the wireless communication system.For example, each time slot is the resource in a time division multipleaccess (TDMA) system, each code and each time slot are the resource in acode division multiple access (CDMA) system, and each subcarrier andeach time slot are the resource in an orthogonal frequency divisionmultiplex access (OFDMA) system. To avoid interference to other users inthe same cell or sector, the respective resources may be defined to beorthogonal in a time, code, or frequency domain.

The channel encoder/mapper generates coded data by encoding an inputstream according to a predetermined coding scheme, and maps the codeddata to a symbol for expressing a position on a signal constellation.The MIMO encoder performs precoding on the input symbol. The precodingis a scheme of performing pre-processing on a symbol to be transmitted.Examples of the precoding scheme include random beamforming (RBF), zeroforcing beamforming (ZFBF), etc., for generating a symbol by applying aweight vector, a precoding matrix, etc. Codebook-based precoding thatuses a predetermined codebook set may be used as the precoding scheme.The OFDM modulator transmits the input symbol through the Tx antenna byallocating the symbol to a relevant subcarrier.

The receiver transmits feedback data for the data received from thetransmitter (step S120). The receiver may include an OFDM demodulator, achannel estimator, a MIMO decoder, a channel decoder/de-mapper, afeedback information obtaining unit, etc. The receiver may includeNr(Nr>1) Rx antennas. The receiver may be a part of the UE in thedownlink, and may be a part of the BS in the uplink.

A signal received through the Rx antenna is demodulated by the OFDMdemodulator. The channel estimator estimates a channel. The MIMO decoderperforms post-processing as opposed to the operation of the MIMOencoder. The decoder/de-mapper de-maps the input symbol from the codeddata and decodes the coded data, thereby restoring original data. Thefeedback information obtaining unit generates user information includinga CSI, a CQI, a PMI, etc. The generated user information is configuredas the feedback data and is transmitted to the transmitter.

Feedback Data of MIMO-OFDM System>

Control information such as a CQI, a CSI, a channel covariance matrix, aprecoding weight, a channel rank, etc., is required for an operation ofa MIMO-OFDM system. In a frequency division duplex (FDD) system, areceiver reports such information through a feedback channel. A timedivision duplex (TDD) system can obtain information to be used indownlink transmission by estimating an uplink channel by the use of areciprocity property of the channel.

The CQI is necessary for resource allocation and link adaptation. AnSNR/SINR or the like may be used as the CQI. The SNR/SINR may be definedas a 4-bit CQI by being quantized with an interval of 1.89 dB at 16levels. The receiver reports a CQI index defined after quantization ofthe SNR/SINR to the transmitter. In addition, when using the MIMOscheme, up to 2 codewords (CWs) can be supported. That is, fortransmission of a rank 2 or higher ranks, CQIs of a first CW and asecond CW have to be reported to the transmitter. The first CW may beexpressed in 4 bits. The second CW is a value indicating a difference tothe 1^(st) CW and may be expressed in 3 bits.

A precoding scheme is a MIMO technique for transmitting a Tx data streamby performing pre-processing by using a pre-processing weight. Equation9 shows a precoding scheme for performing pre-processing on a Tx datastream x by using the pre-processing weight.

$\begin{matrix}{{\begin{bmatrix}{y^{(0)}(i)} \\\vdots \\{y^{({P - 1})}(i)}\end{bmatrix} = {{W(i)}\begin{bmatrix}{x^{(0)}(i)} \\\vdots \\{x^{({v - 1})}(i)}\end{bmatrix}}}{{where},{i = 0},1,\ldots\mspace{14mu},M_{symb}^{layer}}} & \lbrack {{Equation}\mspace{14mu} 9} \rbrack\end{matrix}$

In Equation 9, W(i) denotes a precoding matrix. A DFT matrix U and adiversity matrix D(i) for a cyclic delay diversity (CDD) can be used ina pre-processed Tx data stream y as shown in Equation 10.

$\begin{matrix}{\begin{bmatrix}{y^{(0)}(i)} \\\vdots \\{y^{({P - 1})}(i)}\end{bmatrix} = {{W(i)}{D(i)}{U\begin{bmatrix}{x^{(0)}(i)} \\\vdots \\{x^{({v - 1})}(i)}\end{bmatrix}}}} & \lbrack {{Equation}\mspace{14mu} 10} \rbrack\end{matrix}$

D(i) and U can be determined according to a transport layer.

Equation 11 shows an example of generating the precoding matrix W(i)according to the rank.

$\begin{matrix}{\mspace{79mu}{{{{{W(i)} = C_{k}}k} = {{{{mod}( {{\lceil \frac{i + 1}{v} \rceil - 1},4} )} + 1} = {{{mod}( {{\lfloor \frac{i}{v} \rfloor - 1},4} )} + 1}}}\mspace{20mu}{k \in \{ {1,2,{\ldots\mspace{14mu} 4}} \}}}} & \lbrack {{Equation}\mspace{14mu} 11} \rbrack\end{matrix}$

In Equation 11, C₁, C₂, C₃, and C₄ denote precoding matrixescorresponding to precoder indices 12, 13, 14, and 15, and u denotes therank (or the transport layer).

Table 1 shows an example of the DFT matrix U and the delay matrix D(i)for the CDD applied according to the transport layer.

TABLE 1 Num- ber of lay- ers D(i) U 1 [1 ] [1 ] 2 $\begin{bmatrix}1 & 0 \\0 & e^{{- j}\; 2\;\pi\;{i/2}}\end{bmatrix}\quad$ $\begin{bmatrix}1 & 0 \\0 & e^{{- j}\; 2\;\pi\;{i/2}}\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 & 0 & 0 \\0 & e^{{- j}\; 2\;\pi\;{i/3}} & 0 \\0 & 0 & e^{{- j}\; 4\;\pi\;{i/3}}\end{bmatrix}\quad$ $\begin{bmatrix}1 & 1 & 1 \\1 & e^{{- j}\; 2\;{\pi/3}} & e^{{- j}\; 4\;{\pi/3}} \\1 & e^{{- j}\; 4\;{\pi/3}} & e^{{- j}\; 8\;{\pi/3}}\end{bmatrix}\quad$ 4 $\begin{bmatrix}1 & 0 & 0 & 0 \\0 & e^{{- j}\; 2\;\pi\;{i/4}} & 0 & 0 \\0 & 0 & e^{{- j}\; 4\;\pi\;{i/4}} & 0 \\0 & 0 & 0 & e^{{- j}\; 6\;\pi\;{i/4}}\end{bmatrix}\quad$ $\begin{bmatrix}1 & 1 & 1 & 1 \\1 & e^{{- j}\; 2\;{\pi/4}} & e^{{- j}\; 4\;{\pi/4}} & e^{{- j}\; 6\;{\pi/4}} \\1 & e^{{- j}\; 4\;{\pi/4}} & e^{{- j}\; 8\;{\pi/4}} & e^{{- j}\; 12\;{\pi/4}} \\1 & e^{{- j}\; 6\;{\pi/4}} & e^{{- j}\; 12\;{\pi/4}} & e^{{- j}\; 18\;{\pi/4}}\end{bmatrix}\quad$

According to a method of generating a precoding weight, there arevarious schemes such as zero forcing beamforming, eigen beamforming, andcodebook-based precoding, etc. A CSI, a channel variance matrix, acodebook index, etc., are required to apply each scheme. In DLtransmission of the conventional system, the codebook-based precoding issupported in 2Tx MIMO transmission and 4Tx MIMO transmission. For this,codebooks are respectively defined for 2Tx/4Tx.

In codebook-based precoding, the receiver has several predeterminedprecoding matrixes. The receiver estimates a channel by using a signaltransmitted from the transmitter and determines a precoding matrix whichis the most similar to an estimated channel state. The receiver feedsback a determined precoding matrix index (PMI) to the transmitter. Thetransmitter transmits data by selecting a codebook suitable for thefed-back precoding matrix. In the codebook-based precoding, an amount offeedback data decreases since only the PMI is transmitted. In thecodebook-based precoding scheme, system performance varies depending ona codebook configuration method, a type of a codebook, and a size of thecodebook. When using the codebook-based precoding scheme, performancedeterioration may occur if the codebook does not fully reveal a channelstate. However, if the size of the codebook increases, the performancecan approach to optimal performance since the channel state can be fullyrevealed.

Closed-loop MIMO

A method using a precoding weight similar to a channel according to achannel condition is called a closed-loop MIMO scheme, and a method ofusing the precoding weight according to a specific rule irrespective ofthe channel condition is called an open-loop MIMO scheme.

An amount of a precoding weight reported for the closed-loop MIMO by areceiver may vary depending on a frequency unit, a reporting period,etc. If one precoding weight is defined as a frequency range, a systembandwidth can be classified into a wideband (WB), a subband (SB), abestband (BB), etc., according to the frequency range. The SB mayinclude at least one subcarrier, and the WB may include at least one SB.The BB implies a band having a good channel state as a result of channelmeasurement of the receiver. In the codebook-based precoding, a definedPMI is fed back. The PMI may be defined as a WB PMI, an SB PMI, and a BBPMI according to a range of applying the PMI. Among the definedprecoding matrixes, a PMI capable of maximizing an average throughput ofa specific band is selected. The narrower the range of applying the PMI,the better the performance of the precoding weight.

If a resource block is defined as an aggregation of 12 contiguoussubcarriers, a system bandwidth and an SB can be expressed by regardingthe resource block as a basic unit. Table 2 shows an example ofexpressing the system bandwidth and the SB by regarding the resourceblock as the basic unit.

TABLE 2 System bandwidth Subband size. M (number of bestband) 6-7Wideband CQI only Wideband CQI only  8-11 2 1 11-26 2 3 27-63 3 5 64-110 4 6

The WB may be defined as the system bandwidth, and may be defined as amaximum unit for calculating a CQI. The SB may be defined as kcontiguous resource blocks, and may be defined as a minimum unit forcalculating the CQI. The number of BBs may be determined according tothe system bandwidth.

A size of the SB may be defined differently depending on the systembandwidth. Values of the same magnitude may be used for a range of CQIcalculation and a range of PMI application. A method used for the CQIcalculation and the PMI application will be described by taking a systemhaving 24 resource blocks as the system bandwidth for example.

(1) When transmitting a WB CQI/WB, the receiver selects a PMI capable ofmaximizing an average throughput of 24 resource blocks, and calculatesan average CQI of the 24 resource blocks by applying the selected PMI.The receiver may obtain one WB CQI and one WB PMI.

(2) When transmitting an SB CQI/SB PMI, the receiver selects a PMI forSBs consisting of 2 resource blocks and calculates an average CQI. Thereceiver may obtain 12 SB CQIs and 12 SB PMIs.

(3) When transmitting an SB CQI/WB PMI, the receiver selects a PMIcapable of maximizing an average throughput of the 24 resource blocks,and calculates an average CQI in a unit of 2 resource blocks by usingthe PMI (12 CQIs and 1 PMI). The receiver may obtain 12 SB CQIs and oneWB PMI.

(4) When transmitting a WB CQI/SB PMI, the receiver selects a PMI in aunit of 2 resource blocks and calculates an average CQI of the 24resource blocks by applying the selected PMIs. The receiver may obtainone WB CQI and 12 SB PMIs.

(5) When transmitting a best M average CQI/PMI and a WB CQI/PMI, thereceiver selects 3 SBs having the highest throughput among SBs in a unitof 2 resource blocks and selects a PMI for a BB (2×3=6 resource blocks(RBs)) to calculate an average CQI of the BB. Further, the receiverselects a PMI for the 24 resource blocks and calculates a CQI.

<Opportunistic Beamforming>

When considering scheduling to allocate resources to users of which achannel condition is in an almost maximum state, a multi-user diversitygain decreases in a static channel condition where a channel of eachuser changes slowly. Spatial signal processing may be performed in sucha static channel condition to allow the channel condition to be changedmuch and faster, thereby increasing a multi-user gain. This is called anopportunistic beamforming scheme. When applying the opportunisticbeamforming scheme, a BS can obtain the same effect as if a beam isformed in an irregular direction by applying a precoding weight havingan irregular-type size and phase to each antenna. Accordingly, a channelcondition of each user changes more dynamically. Therefore, when usingthe opportunistic beamforming scheme in a channel condition where achannel changes slowly while using the scheduling scheme together, agreater multi-user diversity gain can be obtained. In addition, in anOFDMA system, a different precoding weight can be applied for eachfrequency resource, and a scheduling gain can be obtained by making afrequency flat channel to a frequency selective channel. Examples of thefrequency resource used in the OFDMA system include a subblock, aresource block, a subcarrier, etc.

A codebook-based precoding scheme reports a PMI by selecting a precodingmatrix which is the most similar to a channel condition amongpredetermined precoding matrixes and can advantageously decreaseoverhead caused by feedback data. However, since a codebook isconfigured by combining codebook sets capable of representing a spatialchannel, more codebook sets have to be combined to constitute thecodebook in proportion to the number of Tx antennas. Designing of thecodebook becomes difficult as the number of Tx antennas increases, andthe overhead of the feedback data may increase as a size of the codebookincreases.

<Designing of UL codebook>

Now, a method of configuring a UL codebook for an increased number of Txantennas of a UE will be described. A method of generating a 4Tx rank-3codebook when the UE transmits data with a rank 3 by using 4 Tx antennaswill be described for example. However, the number of antennas and therank number are not limited thereto in the present invention.

FIG. 5 shows exemplary types of a 4Tx rank-3 codebook according to anembodiment of the present invention.

Referring to FIG. 5, a codebook that supports two or more ranks througha plurality of antennas includes at least one precoding matrix composedof a plurality of rows and columns. The 4Tx rank-3 codebook includes atleast one 4×3 (row×column)-sized precoding matrix. The 4Tx rank-3codebook can be classified into 3 types according to distribution ofzero elements included in the column or row of the precoding matrix. Acodebook type 1 is a codebook including a precoding matrix of which allelements are composed of non-zero elements. A codebook type 2 is acodebook including a precoding matrix of which any one of columns iscomposed of only non-zero elements and the remaining columns arecomposed of at least one zero element. A codebook type 3 is a codebookincluding a precoding matrix of which all columns are composed of atleast one zero element. Herein, elements ‘a’ to ‘l’ of the precodingmatrix can be expressed by a complex value. An antenna powernormalization factor 1/2 of antenna power can be applied to the 4Txrank-3 codebook to cope with strength of a signal transmitted from fourTx antennas. That is, each precoding matrix included in the 4Tx rank-3codebook can be normalized to 1/2. A first normalization factor may be apower normalization factor depending on the number of antennas.

The number of non-zero elements included in each row of the precodingmatrix differs for each codebook type. A second normalization factor ofantenna power can be applied according to the number of non-zeroelements. In case of the codebook type 1, three non-zero elements areincluded for each row of the precoding matrix, and thus a secondnormalization factor √(1/3) (i.e., root (1/3)) can be applied. In caseof the codebook type 2, two non-zero elements are included for each row,and thus a second normalization factor √(1/2) (i.e., root (1/2)) can beapplied. In case of the codebook type 3, one non-zero element isincluded for each row of the precoding matrix, and thus a secondnormalization factor √(1/1) (i.e., root (1/1)) can be applied. Thesecond normalization factor may be a power normalization factordepending on the codebook type.

The codebook type 1 of the 4Tx rank-3 codebook to which the firstnormalization factor and the second normalization factor are applied canbe expressed by Equation 12 below. The codebook type 2 can be expressedby Equation 13 below. The codebook type 3 can be expressed by Equation14 below.

$\begin{matrix}{{\frac{1}{2}\begin{bmatrix}a & e & i \\b & f & j \\c & g & k \\d & h & l\end{bmatrix}} \times \frac{1}{\sqrt{3}}} & \lbrack {{Equation}\mspace{14mu} 12} \rbrack \\{{\frac{1}{2}\begin{bmatrix}a & e & 0 \\b & f & 0 \\c & 0 & k \\d & 0 & l\end{bmatrix}} \times \frac{1}{\sqrt{2}}} & \lbrack {{Equation}{\mspace{11mu}\;}13} \rbrack \\{\frac{1}{2}\begin{bmatrix}a & 0 & 0 \\b & 0 & 0 \\0 & g & 0 \\0 & 0 & l\end{bmatrix}} & \lbrack {{Equation}{\mspace{11mu}\;}14} \rbrack\end{matrix}$

In case of using the codebook type 1, data can be transmitted through 4antennas for each layer, and thus a high spatial diversity gain can beobtained. However, since Tx symbols are additionally used by to elementsof the row of the codebook, a PAPR may increase. In case of using thecodebook type 3, the spatial diversity gain is low but the Tx symbolsare not additionally used by to the elements of the row of the codebook,and thus the PAPR can remain to be low. When using the codebook type 2,the PAPR can be slightly high while obtaining the spatial diversitygain. Therefore, the codebook type 3 can be regarded as a cubic metricpreserving (CMP) codebook that maintains a low cubic metric (CM). Thecodebook type 2 can be regarded as a cubic metric friendly (CMF)codebook that has a slightly high CM and that can increase the spatialdiversity gain.

Hereinafter, a method of configuring the codebook types 1 to 3 of the4Tx rank-3 codebook will be described.

<4Tx Rank-3 Codebook Type 1>

There is a high possibility that rank-3 UL transmission will be selectedin a high geometry situation. Therefore, a UE can transmit a signal withlower Tx power, and can be free from restriction of Tx power. However,each channel may face a limited Tx power situation when consideringwider bandwidth transmission or concurrent transmission of data and acontrol signal. Therefore, a limited power situation and an unlimitedpower situation need to be both considered properly in the rank-3transmission.

A DL rank-3 codebook is configured such that all elements of each columnare composed of non-zero elements, and a signal is transmitted with sameTx power in each layer. Therefore, data can be transmitted with the sameTx power in each layer.

A UL rank-3 codebook can be configured by selecting some of precodingmatrices included in the DL rank-3 codebook. For example, a UL 4Txrank-3 codebook type 1 can be configured based on a DL 4Tx rank-3codebook. The UL 4Tx rank-3 codebook can be configured by preferentiallyselecting a precoding matrix configured with QPSK and/or a precodingmatrix having an even number of negative signs among the precodingmatrices included in the DL 4Tx rank-3 codebook. This is because whenconfiguring the codebook, the use of the smallest possible number ofalphabets is advantageous in terms of calculation complexity, and acodebook having a DFT format ensures the orthogonality betweenrespective layers to the maximum extent possible. For example, in the DL4Tx rank-3 codebook, a precoding matrix having indices 0, 2, 8, and 10is composed of 1 and −1, and an even number of elements have a negativesign in one column.

Table 3 shows an example of the UL 4Tx rank-3 codebook selected based onthe DL 4Tx rank-3 codebook. In this case, 8 precoding matrices (havingindices 0, 1, 2, 3, 8, 10, 12, and 13) composed of 1, −1, j, and −j inthe DL 4Tx rank-3 codebook are selected as the UL 4Tx rank-3 codebook.

TABLE 3 UL 4Tx rank 3 codebook index 0 1 2 3 $\frac{1}{2}\begin{bmatrix}1 & 1 & 1 \\1 & 1 & {- 1} \\1 & {- 1} & {- 1} \\1 & {- 1} & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & {- j} & 1 \\j & 1 & {- j} \\1 & j & 1 \\{- j} & 1 & j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & {- 1} & 1 \\{- 1} & 1 & 1 \\1 & 1 & 1 \\{- 1} & {- 1} & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & j & {- 1} \\{- j} & 1 & {- j} \\{- 1} & {- j} & 1 \\j & 1 & j\end{bmatrix}$ 8 10 12 13 $\frac{1}{2}\begin{bmatrix}1 & 1 & {- 1} \\1 & 1 & 1 \\{- 1} & 1 & {- 1} \\{- 1} & 1 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & {- 1} & {- 1} \\{- 1} & 1 & {- 1} \\{- 1} & {- 1} & 1 \\1 & 1 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 1 & 1 \\1 & 1 & {- 1} \\1 & {- 1} & 1 \\{- 1} & 1 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 1 & {- 1} \\1 & 1 & 1 \\{- 1} & 1 & 1 \\1 & {- 1} & 1\end{bmatrix}$

Table 4 shows another example of the UL 4Tx rank-3 codebook selectedbased on the DL 4Tx rank-3 codebook. In this case, 8 precoding matrices(having indices 9, 3, 0, 2, 8, 10, 11, and 15) composed of 1, −1, j, and−j in the DL 4Tx rank-3 codebook are selected as the UL 4Tx rank-3codebook.

TABLE 4 UL 4Tx rank 3 codebook index 9 3 0 2 $\frac{1}{2}\begin{bmatrix}1 & 1 & {- j} \\j & {- 1} & {- 1} \\1 & 1 & j \\j & {- j} & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & j & {- 1} \\{- j} & 1 & {- j} \\{- 1} & j & 1 \\j & 1 & j\end{bmatrix}$ ${\frac{1}{2}\begin{bmatrix}1 & 1 & 1 \\1 & 1 & {- 1} \\1 & {- 1} & {- 1} \\1 & {- 1} & 1\end{bmatrix}}`$ $\frac{1}{2}\begin{bmatrix}1 & {- 1} & 1 \\{- 1} & 1 & 1 \\1 & 1 & 1 \\{- 1} & {- 1} & 1\end{bmatrix}$ 8 10 11 15 $\frac{1}{2}\begin{bmatrix}1 & 1 & {- 1} \\1 & 1 & 1 \\{- 1} & 1 & {- 1} \\{- 1} & 1 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & {- 1} & {- 1} \\{- 1} & 1 & {- 1} \\{- 1} & {- 1} & 1 \\1 & 1 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 1 & j \\{- j} & j & {- 1} \\1 & 1 & {- j} \\{- j} & j & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & {- 1} & {- 1} \\{- 1} & 1 & {- 1} \\{- 1} & {- 1} & 1 \\{- 1} & {- 1} & {- 1}\end{bmatrix}$

6 precoding matrices (having indices 0, 2, 8, 10, 12, and 13) composedof 1 and −1 in the DL 4Tx rank-3 codebook can be selected as the UL 4Txrank-3 codebook.

The 4Tx rank-3 codebook type 1 configured as described above can beusefully used to increase spatial multiplexing capability in a low-speedenvironment.

<4Tx Rank-3 Codebook Type 2>

FIG. 6 shows a method of configuring a 4Tx rank-3 codebook according toan embodiment of the present invention.

Referring to FIG. 6, the 4Tx rank-3 codebook type 2 is configured byusing a method of configuring an orthogonal codebook for each layer. Inthe codebook type 2, a first column is composed of only non-zeroelements and second and third columns each include two zero elements (ornon-zero elements) in different rows. In case of performing switchingbetween the column composed of only non-zero elements and the columnsincluding zero elements, a resultant matrix can be regarded asequivalent to the previous pattern. Hereinafter, a location of elementsof a codebook or a precoding matrix is expressed by (row, column) forconvenience of explanation.

The second and third columns can be configured in a codebook format usedin 4Tx rank-2 transmission. It is assumed herein that an element of (1,2) has a value of ‘1’ and an element of (2, 2) has a value of ‘a’ in thesecond column, and an element of (3, 3) has a value of ‘1’ and anelement of (4, 3) has a value of ‘b’ in the third column. In this case,‘a’ and ‘b’ can be expressed by complex values.

The first column composed of only non-zero elements is configured asfollows such that the first column has an orthogonal relation with thesecond and third columns including zero elements.

(1) The non-zero elements of the second and third column are inserted tothe first column at the same rows. In this case, ‘a’ and ‘b’ can bemultiplied by a negative value in the process of insertion. That is,when the non-zero elements of the column including zero elements areinserted to the column composed of only non-zero elements, an element ofa first row may be directly inserted and an element of a second row maybe inserted by multiplying a negative value.

(2) When the non-zero elements of the second and third columns areinserted to the first column at the same row, ‘a’ may be inserted bymultiplying a negative value and ‘b’ may be inserted directly while theother non-zero element (e.g., 1) of the column including ‘b’ is insertedby multiplying a negative value. That is, when inserting elements of thecolumn including zero elements to the column including only non-zeroelements, in the column of which non-zero elements are located in arelatively upper row, a second non-zero element may be multiplied by anegative value, and in the column of which non-zero elements are locatedin a relatively lower row, a first non-zero element may be multiplied bya negative value.

(3) When the non-zero elements of the second and third columns areinserted to the first column at the same row, a complex value j may beinserted. The complex value can be expressed by j=exp(j×π/2). Wheninserting elements of the column including zero elements to the columnincluding only non-zero elements, in the column of which non-zeroelements are located in a relatively upper row, a second non-zeroelement may be multiplied by a negative value, and in the column ofwhich non-zero elements are located in a relatively lower row, a firstnon-zero element may be multiplied by j and a second non-zero elementmay be multiplied by −j.

(4) When the non-zero elements of the second and third columns areinserted to the first column at the same row, a complex value j may beinserted. When inserting elements of the column including zero elementsto the column including only non-zero elements, in the column of whichnon-zero elements are located in a relatively upper row, a secondnon-zero element may be multiplied by a negative value, and in thecolumn of which non-zero elements are located in a relatively lower row,a first non-zero element may be multiplied by −j and a second non-zeroelement may be multiplied by j.

As such, by inserting the non-zero elements of the second and thirdcolumns into the first column, the orthogonal 4Tx rank-3 codebook type 2can be configured for each layer.

Meanwhile, the second and third columns can be configured in a codebookformat used in 4Tx rank-2 transmission. A configuration of the 4Txrank-3 codebook based on the 4Tx rank-2 codebook will be described.

The 4Tx rank-2 codebook can be expressed by Equation 15 below. The 4Txrank-2 codebook can be expressed in three types according to anarrangement of elements included therein.

$\begin{matrix}{\begin{bmatrix}a & 0 \\b & 0 \\0 & g \\0 & h\end{bmatrix}\mspace{14mu}{{or}\mspace{14mu}\begin{bmatrix}a & 0 \\0 & f \\c & 0 \\0 & h\end{bmatrix}}\mspace{14mu}{{or}\mspace{14mu}\begin{bmatrix}a & 0 \\0 & f \\0 & g \\d & 0\end{bmatrix}}} & \lbrack {{Equation}\mspace{14mu} 15} \rbrack\end{matrix}$

In Equation 15, values ‘a’ to ‘h’ are non-zero elements and may becomplex values. These values can be expressed restrictively for QPSK or8PSK. The 4Tx rank-2 codebook can be subjected to column permutation,and can be expressed by Equation 16 below.

$\begin{matrix}{\begin{bmatrix}0 & e \\0 & f \\c & 0 \\d & 0\end{bmatrix}\mspace{14mu}{{or}\mspace{14mu}\begin{bmatrix}0 & e \\b & 0 \\0 & g \\d & 0\end{bmatrix}}\mspace{14mu}{{or}\mspace{14mu}\begin{bmatrix}0 & e \\b & 0 \\c & 0 \\0 & h\end{bmatrix}}} & \lbrack {{Equation}\mspace{14mu} 16} \rbrack\end{matrix}$

Equations 15 and 16 have a column permutation relation and can beregarded as equivalent matrices. The column permutation can beimplemented by using layer permutation or layer shift in a multipleantenna system considering multiple codewords.

If the values ‘a’ to ‘h’ are expressed with QPSK in Equation 15 above,the 4Tx rank-2 codebook can be configured as shown in Table 5 below.

TABLE 5 1 2 3 4 5 6 7 8 index 9 10 11 12 13 14 15 16 Type 1${\begin{matrix}1 & 0 \\1 & 0 \\0 & 1 \\0 & 1\end{matrix}}\quad$ ${\begin{matrix}1 & 0 \\1 & 0 \\0 & 1 \\0 & {- 1}\end{matrix}}\quad$ ${\begin{matrix}1 & 0 \\1 & 0 \\0 & 1 \\0 & j\end{matrix}}\quad$ ${\begin{matrix}1 & 0 \\1 & 0 \\0 & 1 \\0 & {- j}\end{matrix}}\quad$ $\lceil \begin{matrix}1 & 0 \\{- 1} & 0 \\0 & 1 \\0 & 1\end{matrix} \rceil\quad$ $\lceil \begin{matrix}1 & 0 \\{- 1} & 0 \\0 & 1 \\0 & {- 1}\end{matrix} \rceil{\quad\quad}$ $\lceil \begin{matrix}1 & 0 \\{- 1} & 0 \\0 & 1 \\0 & j\end{matrix} \rceil{\quad\quad}$ $\lceil \begin{matrix}1 & 0 \\{- 1} & 0 \\0 & 1 \\0 & {- j}\end{matrix} \rceil{\quad\quad}$ ${\begin{matrix}1 & 0 \\j & 0 \\0 & 1 \\0 & 1\end{matrix}}{\quad\quad}$ ${\begin{matrix}1 & 0 \\j & 0 \\0 & 1 \\0 & {- 1}\end{matrix}}\quad$ ${\begin{matrix}1 & 0 \\j & 0 \\0 & 1 \\0 & j\end{matrix}}\quad$ ${\begin{matrix}1 & 0 \\j & 0 \\0 & 1 \\0 & {- j}\end{matrix}}\quad$ $\begin{bmatrix}1 & 0 \\{- j} & 0 \\0 & 1 \\0 & 1\end{bmatrix}{\quad\quad}$ $\begin{bmatrix}1 & 0 \\{- j} & 0 \\0 & 1 \\0 & {- 1}\end{bmatrix}{\quad\quad}$ $\begin{bmatrix}1 & 0 \\{- j} & 0 \\0 & 1 \\0 & j\end{bmatrix}{\quad\quad}$ $\begin{bmatrix}1 & 0 \\{- j} & 0 \\0 & 1 \\0 & {- j}\end{bmatrix}{\quad\quad}$ Type 2 $\begin{bmatrix}1 & 0 \\0 & 1 \\1 & 0 \\0 & 1\end{bmatrix}\quad$ $\begin{bmatrix}1 & 0 \\0 & 1 \\1 & 0 \\0 & {- 1}\end{bmatrix}{\quad\quad}$ $\begin{bmatrix}1 & 0 \\0 & 1 \\1 & 0 \\0 & j\end{bmatrix}{\quad\quad}$ $\begin{bmatrix}1 & 0 \\0 & 1 \\1 & 0 \\0 & {- j}\end{bmatrix}\quad$ $\begin{bmatrix}1 & 0 \\0 & 1 \\{- 1} & 0 \\0 & 1\end{bmatrix}{\quad\quad}$ $\begin{bmatrix}1 & 0 \\0 & 1 \\{- 1} & 0 \\0 & {- 1}\end{bmatrix}{\quad\quad}$ $\begin{bmatrix}1 & 0 \\0 & 1 \\{- 1} & 0 \\0 & j\end{bmatrix}{\quad\quad}$ $\begin{bmatrix}1 & 0 \\0 & 1 \\{- 1} & 0 \\0 & {- j}\end{bmatrix}{\quad\quad}$ $\begin{bmatrix}1 & 0 \\0 & 1 \\j & 0 \\0 & 1\end{bmatrix}{\quad\quad}$ $\begin{bmatrix}1 & 0 \\0 & 1 \\j & 0 \\0 & {- 1}\end{bmatrix}{\quad\quad}$ $\begin{bmatrix}1 & 0 \\0 & 1 \\j & 0 \\0 & j\end{bmatrix}{\quad\quad}$ $\begin{bmatrix}1 & 0 \\0 & 1 \\j & 0 \\0 & {- j}\end{bmatrix}\quad$ $\begin{bmatrix}1 & 0 \\0 & 1 \\{- j} & 0 \\0 & 1\end{bmatrix}{\quad\quad}$ $\begin{bmatrix}1 & 0 \\0 & 1 \\{- j} & 0 \\0 & {- 1}\end{bmatrix}{\quad\quad}$ $\begin{bmatrix}1 & 0 \\0 & 1 \\{- j} & 0 \\0 & j\end{bmatrix}{\quad\quad}$ $\begin{bmatrix}1 & 0 \\0 & 1 \\{- j} & 0 \\0 & {- j}\end{bmatrix}{\quad\quad}$ Type 3 $\begin{bmatrix}1 & 0 \\0 & 1 \\0 & 1 \\1 & 0\end{bmatrix}{\quad\quad}$ $\begin{bmatrix}1 & 0 \\0 & 1 \\0 & {- 1} \\1 & 0\end{bmatrix}{\quad\quad}$ $\begin{bmatrix}1 & 0 \\0 & 1 \\0 & j \\1 & 0\end{bmatrix}{\quad\quad}$ $\begin{bmatrix}1 & 0 \\0 & 1 \\0 & {- j} \\1 & 0\end{bmatrix}{\quad\quad}$ $\begin{bmatrix}1 & 0 \\0 & 1 \\0 & 1 \\{- 1} & 0\end{bmatrix}{\quad\quad}$ $\begin{bmatrix}1 & 0 \\0 & 1 \\0 & {- 1} \\{- 1} & 0\end{bmatrix}{\quad\quad}$ $\begin{bmatrix}1 & 0 \\0 & 1 \\0 & j \\{- 1} & 0\end{bmatrix}{\quad\quad}$ $\begin{bmatrix}1 & 0 \\0 & 1 \\0 & {- j} \\{- 1} & 0\end{bmatrix}{\quad\quad}$ $\lceil \begin{matrix}1 & 0 \\0 & 1 \\0 & 1 \\j & 0\end{matrix} \rceil{\quad\quad}$ $\lceil \begin{matrix}1 & 0 \\0 & 1 \\0 & {- 1} \\j & 0\end{matrix} \rceil{\quad\quad}$ $\lceil \begin{matrix}1 & 0 \\0 & 1 \\0 & j \\j & 0\end{matrix} \rceil{\quad\quad}$ $\lceil \begin{matrix}1 & 0 \\0 & 1 \\0 & {- j} \\j & 0\end{matrix} \rceil\quad$ $\begin{bmatrix}1 & 0 \\0 & 1 \\0 & 1 \\{- j} & 0\end{bmatrix}{\quad\quad}$ $\begin{bmatrix}1 & 0 \\0 & 1 \\0 & {- 1} \\{- j} & 0\end{bmatrix}{\quad\quad}$ $\begin{bmatrix}1 & 0 \\0 & 1 \\0 & j \\{- j} & 0\end{bmatrix}{\quad\quad}$ $\begin{bmatrix}1 & 0 \\0 & 1 \\0 & {- j} \\{- j} & 0\end{bmatrix}{\quad\quad}$

The 4Tx rank-2 codebook types 1 to 3 each include 16 precoding matrices,and can be indicated by precoding matrix indices (PMIS) 1 to 16. The 4Txrank-2 codebook can be configured by combining some precoding matricesincluded in each type. For example, the 4Tx rank-2 codebook can beconfigured by selecting 8 precoding matrices from the type 1, 4precoding matrices from the type 2, and 4 precoding matrices from thetype 3. A precoding matrix having indices 3, 4, 7, 8, 9, 10, 13, and 14may be selected from the type 1, a precoding matrix having indices 1, 2,5, and 6 may be selected from the type 2, and a precoding matrix ofindices 3, 4, 7, and 8 may be selected from the type 3, which isreferred to as a codebook set A. Alternatively, a precoding matrixhaving indices 3, 4, 7, 8, 9, 10, 13, and 14 may be selected from thetype 1, a precoding matrix having indices 1, 2, 5, and 6 may be selectedfrom the type 2, and a precoding matrix of indices 1, 2, 5, and 6 may beselected from the type 3, which is referred to as a codebook set B.

The 4Tx rank-3 codebook can be configured by using a method ofconfiguring the aforementioned 4Tx rank-2 codebook on the basis of theconfigured 4Tx rank-2 codebook sets A and B.

Table 6 shows the 4Tx rank-3 codebook set configured based on the 4Txrank-2 codebook. In this case, 6 precoding matrices are included in the4Tx rank-3 codebook.

TABLE 6 4Tx rank-3 PMI of PMI of 4 codebook 4Tx rank-2 Tx rank-2 PMI of4Tx rank-2 set codebook type 1 codebook type 2 codebook type 3 A-1 7 8 15 3 4 A-2 7 8 2 6 7 8 B-1 7 8 1 2 1 5 B-2 7 8 1 5 1 2 B-3 7 8 1 6 2 5B-4 7 8 2 5 1 6 B-5 7 8 2 6 5 6 B-6 7 8 5 6 2 6

A 4Tx rank-3 codebook set A-1 can be expressed by precoding matricesshown in Equation 17 below according to the proposed method.

$\begin{matrix}{{{{{\begin{bmatrix}1 & 1 & 0 \\1 & {- 1} & 0 \\1 & 0 & 1 \\{- j} & 0 & j\end{bmatrix}\mspace{14mu}\begin{bmatrix}1 & 1 & 0 \\1 & {- 1} & 0 \\1 & 0 & 1 \\j & 0 & {- j}\end{bmatrix}}\mspace{14mu}\begin{bmatrix}1 & 1 & 0 \\{- 1} & 0 & 1 \\1 & 1 & 0 \\{- 1} & 0 & 1\end{bmatrix}}\begin{bmatrix}1 & 1 & 0 \\{- 1} & 0 & 1 \\{- 1} & {- 1} & 0 \\{- 1} & 0 & 1\end{bmatrix}}\mspace{14mu}\begin{bmatrix}1 & 1 & 0 \\1 & 0 & 1 \\{- j} & 0 & j \\{- 1} & 1 & 0\end{bmatrix}}\mspace{14mu}\begin{bmatrix}1 & 1 & 0 \\1 & 0 & 1 \\j & 0 & {- j} \\{- 1} & 1 & 0\end{bmatrix}} & \lbrack {{Equation}\mspace{14mu} 17} \rbrack\end{matrix}$

In addition thereto, 4Tx rank-3 codebook sets A-2 and B-1 to B-6 arealso configured with 6 precoding matrices generated according to theproposed method.

When 8 precoding matrices are included in the 4Tx rank-3 codebook, the4Tx rank-3 codebook set can be configured as shown in Table 7 below.

TABLE 7 PMI of PMI of 4Tx rank-3 4Tx rank-2 4Tx rank-2 PMI of 4Tx rank-2codebook set codebook type 1 codebook type 2 codebook type 3 C-1 7 8 913 2 6 7 8 C-2 7 8 10 14 1 5 3 4

The combination type of the 4Tx rank-2 codebook and the number ofprecoding matrices included in the 4Tx rank-3 codebook are for exemplarypurposes only, and the present invention is not limited thereto. The 4Txrank-3 codebook can be configured with a various number of precodingmatrices in various combinations.

FIG. 7 shows power allocation using a 4Tx rank-3 codebook according toan embodiment of the present invention.

Referring to FIG. 7, when using the 4Tx rank-3 codebook, power can beallocated not uniformly for each column of a precoding matrix.Relatively low power can be allocated to a column which does not havezero elements, and relatively high power can be allocated to a column towhich a zero element is inserted.

For example, in the 4Tx rank-3 codebook type 2, relatively lower powercan be allocated to a first column including only non-zero elements thanthe remaining columns including zero elements. In order to transmit asignal with the same level of power for each layer, the signal can betransmitted by allocating 1/3 power to the column including onlynon-zero elements and 2/3 power to the columns including zero elements.A signal of a first layer mapped to the first column has 1/3*1/4 powerper element, but is transmitted with 1/3 power since the signal istransmitted through 4 antennas. Signals of second and third layersmapped to second and third columns have 2/3*1/4 power per element, butare transmitted with 1/3 power since the signals are transmitted throughtwo antennas. As such, different power can be allocated to each columnaccording to a ratio of zero elements or non-zero elements included inthe columns of the precoding matrix, and thus it is possible to regulatepower of the transmitted signal so that each layer has the same power.

<4Tx Rank-3 Codebook Type 3>

The 4Tx rank-3 codebook type 3 is configured with one column vectorwhich selects and combines any two rows among 4 rows and two columnvectors which select only any one row among the 4 rows. The columnvector which selects and combines any two rows implies a columnincluding two non-zero elements. The column vector which selects onlyany one row implies a column including one non-zero element. In thiscase, non-zero elements of each column are located in different rows.That is, the rank-3 codebook type 3 is configured with a column composedof an antenna combination vector for combining a plurality of antennasand a column composed of an antenna selection vector for selecting anyone of the plurality of antennas. A low PAPR can be maintained by usingthe 4Tx rank-3 codebook type 3.

It is assumed herein that a first column includes two non-zero elements,and second and third columns include one non-zero element. The firstcolumn may be composed of the antenna combination vector, and the secondand third columns may be composed of the antenna selection vector. Theantenna selection vector is used to select two antennas among fourantennas, and may be configured by combining antennas according to anantenna number such as (1,2), (1,3), (1,4), and (3,4). In the antennacombination vector, ‘1’ may be inserted to an upper row of non-zeroelements, and any one of QPSK elements 1, −1, j, and −j may be insertedto a lower row. There is no restriction on positions of the column ofthe antenna combination vector and the column of the antenna selectionvector. In case of performing column switching between the columns ofthe antenna selection vector, a result matrix pattern can be regarded asequivalent to the previous pattern.

In the 4Tx rank-3 codebook type 3, the antenna combination vector can becomposed of numeric character of ‘1’ or ‘−1’ by default. In case ofusing a precoding matrix including the antenna combination vector whenconfiguring the 4Tx rank-3 codebook, a precoding matrix including eachof two orthogonal vectors may be included in the 4Tx rank-3 codebook.For example, two orthogonal vectors may be configured by multiplying asecond element among non-zero elements of the antenna combination vectorby a negative value.

Table 8 shows an example of the 4Tx rank-3 codebook type 3 includingorthogonal antenna combination vectors.

TABLE 8 $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0 \\1 & 0 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\{- 1} & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\{- 1} & 0 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\{- 1} & 0 & 0 \\0 & 0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0 \\{- 1} & 0 & 0\end{bmatrix}$

When configuring a precoding matrix of the 4Tx rank-3 codebook type 3, achordal distance depending on an element value in the column includingnon-zero elements can be taken into account.

(1) The chordal distance is not influenced by an element value of onecolumn having one non-zero element.

Table 9 shows an example of the chordal distance depending on theelement value of the column including one non-zero element in the 4Txrank-3 codebook type 3.

TABLE 9 Chordal distance Codebook A Codebook B No distance$\begin{bmatrix}1 & 0 & 0 \\1 & 0 & 0 \\0 & a & 0 \\0 & 0 & b\end{bmatrix}\quad$ $\begin{bmatrix}1 & 0 & 0 \\1 & 0 & 0 \\0 & c & 0 \\0 & 0 & d\end{bmatrix}\quad$ Medium (0.356) $\begin{bmatrix}1 & 0 & 0 \\1 & 0 & 0 \\0 & a & 0 \\0 & 0 & b\end{bmatrix}\quad$ $\begin{bmatrix}1 & 0 & 0 \\j & 0 & 0 \\0 & c & 0 \\0 & 0 & d\end{bmatrix}\quad$ Longest (0.5) $\begin{bmatrix}1 & 0 & 0 \\1 & 0 & 0 \\0 & a & 0 \\0 & 0 & b\end{bmatrix}\quad$ $\begin{bmatrix}1 & 0 & 0 \\{- 1} & 0 & 0 \\0 & c & 0 \\0 & 0 & d\end{bmatrix}\quad$ Medium (0.356) $\begin{bmatrix}1 & 0 & 0 \\1 & 0 & 0 \\0 & a & 0 \\0 & 0 & b\end{bmatrix}\quad$ $\begin{bmatrix}1 & 0 & 0 \\{- j} & 0 & 0 \\0 & c & 0 \\0 & 0 & d\end{bmatrix}\quad$

(2) In a codebook having the same element value, a chordal distance of acodebook set configured with column switching is 0 (i.e., no distance).

Table 10 shows an example of a chordal distance based on columnswitching.

TABLE 10 Chordal distance codebook set No distance $\begin{bmatrix}1 & 0 & 0 \\1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1\end{bmatrix}\quad$ $\begin{bmatrix}1 & 0 & 0 \\1 & 0 & 0 \\0 & 0 & 1 \\0 & 1 & 0\end{bmatrix}\quad$ $\begin{bmatrix}0 & 1 & 0 \\0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1\end{bmatrix}\quad$ $\begin{bmatrix}0 & 0 & 1 \\0 & 0 & 1 \\1 & 0 & 0 \\0 & 1 & 0\end{bmatrix}\quad$ $\begin{bmatrix}0 & 1 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0\end{bmatrix}\quad$ $\begin{bmatrix}0 & 0 & 1 \\0 & 0 & 1 \\0 & 1 & 0 \\1 & 0 & 0\end{bmatrix}\quad$

(3) The chordal distance can be determined according to an element valueof a column including two non-zero elements.

The chordal distance depending on changes in elements will be describedunder the assumption that an element value of a column including twonon-zero elements has a QPSK phase. Table 11 shows an example of thecodebook type 3 for 4Tx rank-3 transmission.

TABLE 11 Codebook A Codebook B $\begin{bmatrix}1 & 0 & 0 \\a & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1\end{bmatrix}\quad$ $\begin{bmatrix}b & 0 & 0 \\c & 0 & 0 \\0 & 0 & 1 \\0 & 1 & 0\end{bmatrix}\quad$

In the codebook type 3, the non-zero elements of the column having onenon-zero element are located at rows including zero elements of thecolumn having two non-zero elements. Since the column having onenon-zero element does not have an effect on the chordal distance of thecodebook set, the column having one non-zero element may include anyelement value. Column switching can be performed between the columnshaving one non-zero element, and this case does not have an effect onthe chordal distance, either. Therefore, the chordal distance in thecodebook type 3 can be determined according to the column including twonon-zero elements.

Table 12 shows a non-zero element of the column including two non-zeroelement in a 2×1 vector format.

TABLE 12 First Vector Second Vector $\begin{bmatrix}1 \\a\end{bmatrix}\quad$ $\begin{bmatrix}b \\c\end{bmatrix}\quad$

An element of the vector may have any value. For example, the element ofthe vector may have a QPSK or BPSK phase value. To calculate a chordaldistance between two vectors, it is assumed that each element has a QPSKphase. A first row of a first vector is fixed to ‘1’ to limit the numberof cases. Any value can be used as a normalization factor for thevector.

Table 13 to Table 16 show examples of a chordal distance between thefirst vector and the second vector. Herein, the vector is normalizedwith 1/sqrt(4), and indicates the chordal distances ‘0’=0,‘3’=1/sqrt(8), and ‘5’=1/2.

TABLE 13 Chordal Chordal distance 1^(st) Vector 2^(nd) Vector distance1^(st) Vector 2^(nd) Vector 0 $\begin{bmatrix}1 \\1\end{bmatrix}\quad$ $\begin{bmatrix}1 \\1\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\1\end{bmatrix}\quad$ $\begin{bmatrix}1 \\{- 1}\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\1\end{bmatrix}\quad$ $\begin{bmatrix}j \\1\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\1\end{bmatrix}\quad$ $\begin{bmatrix}j \\{- 1}\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\1\end{bmatrix}\quad$ $\begin{bmatrix}{- 1} \\1\end{bmatrix}\quad$ 0 $\begin{bmatrix}1 \\1\end{bmatrix}\quad$ $\begin{bmatrix}{- 1} \\{- 1}\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\1\end{bmatrix}\quad$ $\begin{bmatrix}{- j} \\1\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\1\end{bmatrix}\quad$ $\begin{bmatrix}{- j} \\{- 1}\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\1\end{bmatrix}\quad$ $\begin{bmatrix}1 \\j\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\1\end{bmatrix}\quad$ $\begin{bmatrix}1 \\{- j}\end{bmatrix}\quad$ 0 $\begin{bmatrix}1 \\1\end{bmatrix}\quad$ $\begin{bmatrix}j \\j\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\1\end{bmatrix}\quad$ $\begin{bmatrix}j \\{- j}\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\1\end{bmatrix}\quad$ $\begin{bmatrix}{- 1} \\j\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\1\end{bmatrix}\quad$ $\begin{bmatrix}{- 1} \\{- j}\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\1\end{bmatrix}\quad$ $\begin{bmatrix}{- j} \\j\end{bmatrix}\quad$ 0 $\begin{bmatrix}1 \\1\end{bmatrix}\quad$ $\begin{bmatrix}{- j} \\{- j}\end{bmatrix}\quad$

TABLE 14 Chordal Chordal distance 1^(st) Vector 2^(nd) Vector distance1^(st) Vector 2^(nd) Vector 3 $\begin{bmatrix}1 \\j\end{bmatrix}\quad$ $\begin{bmatrix}1 \\1\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\j\end{bmatrix}\quad$ $\begin{bmatrix}1 \\{- 1}\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\j\end{bmatrix}\quad$ $\begin{bmatrix}j \\1\end{bmatrix}\quad$ 0 $\begin{bmatrix}1 \\j\end{bmatrix}\quad$ $\begin{bmatrix}j \\{- 1}\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\j\end{bmatrix}\quad$ $\begin{bmatrix}{- 1} \\1\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\j\end{bmatrix}\quad$ $\begin{bmatrix}{- 1} \\{- 1}\end{bmatrix}\quad$ 0 $\begin{bmatrix}1 \\j\end{bmatrix}\quad$ $\begin{bmatrix}{- j} \\1\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\j\end{bmatrix}\quad$ $\begin{bmatrix}{- j} \\{- 1}\end{bmatrix}\quad$ 0 $\begin{bmatrix}1 \\j\end{bmatrix}\quad$ $\begin{bmatrix}1 \\j\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\j\end{bmatrix}\quad$ $\begin{bmatrix}1 \\{- j}\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\j\end{bmatrix}\quad$ $\begin{bmatrix}j \\j\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\j\end{bmatrix}\quad$ $\begin{bmatrix}j \\{- j}\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\j\end{bmatrix}\quad$ $\begin{bmatrix}{- 1} \\j\end{bmatrix}\quad$ 0 $\begin{bmatrix}1 \\j\end{bmatrix}\quad$ $\begin{bmatrix}{- 1} \\{- j}\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\j\end{bmatrix}\quad$ $\begin{bmatrix}{- j} \\j\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\j\end{bmatrix}\quad$ $\begin{bmatrix}{- j} \\{- j}\end{bmatrix}\quad$

TABLE 15 Chordal Chordal distance 1^(st) Vector 2^(nd) Vector distance1^(st) Vector 2^(nd) Vector 5 $\begin{bmatrix}1 \\{- 1}\end{bmatrix}\quad$ $\begin{bmatrix}1 \\1\end{bmatrix}\quad$ 0 $\begin{bmatrix}1 \\{- 1}\end{bmatrix}\quad$ $\begin{bmatrix}1 \\{- 1}\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\{- 1}\end{bmatrix}\quad$ $\begin{bmatrix}j \\1\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\{- 1}\end{bmatrix}\quad$ $\begin{bmatrix}j \\{- 1}\end{bmatrix}\quad$ 0 $\begin{bmatrix}1 \\{- 1}\end{bmatrix}\quad$ $\begin{bmatrix}{- 1} \\1\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\{- 1}\end{bmatrix}\quad$ $\begin{bmatrix}{- 1} \\{- 1}\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\{- 1}\end{bmatrix}\quad$ $\begin{bmatrix}{- j} \\1\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\{- 1}\end{bmatrix}\quad$ $\begin{bmatrix}{- j} \\{- 1}\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\{- 1}\end{bmatrix}\quad$ $\begin{bmatrix}1 \\j\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\{- 1}\end{bmatrix}\quad$ $\begin{bmatrix}1 \\{- j}\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\{- 1}\end{bmatrix}\quad$ $\begin{bmatrix}j \\j\end{bmatrix}\quad$ 0 $\begin{bmatrix}1 \\{- 1}\end{bmatrix}\quad$ $\begin{bmatrix}j \\{- j}\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\{- 1}\end{bmatrix}\quad$ $\begin{bmatrix}{- 1} \\j\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\{- 1}\end{bmatrix}\quad$ $\begin{bmatrix}{- 1} \\{- j}\end{bmatrix}\quad$ 0 $\begin{bmatrix}1 \\{- 1}\end{bmatrix}\quad$ $\begin{bmatrix}{- j} \\j\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\{- 1}\end{bmatrix}\quad$ $\begin{bmatrix}{- j} \\{- j}\end{bmatrix}\quad$

TABLE 16 Chordal Chordal distance 1^(st) Vector 2^(nd) Vector distance1^(st) Vector 2^(nd) Vector 3 $\begin{bmatrix}1 \\{- j}\end{bmatrix}\quad$ $\begin{bmatrix}1 \\1\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\{- j}\end{bmatrix}\quad$ $\begin{bmatrix}1 \\{- 1}\end{bmatrix}\quad$ 0 $\begin{bmatrix}1 \\{- j}\end{bmatrix}\quad$ $\begin{bmatrix}j \\1\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\{- j}\end{bmatrix}\quad$ $\begin{bmatrix}j \\{- 1}\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\{- j}\end{bmatrix}\quad$ $\begin{bmatrix}{- 1} \\1\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\{- j}\end{bmatrix}\quad$ $\begin{bmatrix}{- 1} \\{- 1}\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\{- j}\end{bmatrix}\quad$ $\begin{bmatrix}{- j} \\1\end{bmatrix}\quad$ 0 $\begin{bmatrix}1 \\{- j}\end{bmatrix}\quad$ $\begin{bmatrix}{- j} \\{- 1}\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\{- j}\end{bmatrix}\quad$ $\begin{bmatrix}1 \\j\end{bmatrix}\quad$ 0 $\begin{bmatrix}1 \\{- j}\end{bmatrix}\quad$ $\begin{bmatrix}1 \\{- j}\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\{- j}\end{bmatrix}\quad$ $\begin{bmatrix}j \\j\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\{- j}\end{bmatrix}\quad$ $\begin{bmatrix}j \\{- j}\end{bmatrix}\quad$ 0 $\begin{bmatrix}1 \\{- j}\end{bmatrix}\quad$ $\begin{bmatrix}{- 1} \\j\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\{- j}\end{bmatrix}\quad$ $\begin{bmatrix}{- 1} \\{- j}\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\{- j}\end{bmatrix}\quad$ $\begin{bmatrix}{- j} \\j\end{bmatrix}\quad$ 3 $\begin{bmatrix}1 \\{- j}\end{bmatrix}\quad$ $\begin{bmatrix}{- j} \\{- j}\end{bmatrix}\quad$

As described above, an orthogonal vector has a maximum chordal distance.A vector set having a maximum chordal distance of 5 in Table 13 to Table16 can be expressed by Equation 17 below.

TABLE 17 Chordal Chordal distance 1^(st) Vector 2^(nd) Vector distance1^(st) Vector 2^(nd) Vector 5 $\begin{bmatrix}1 \\1\end{bmatrix}\quad$ $\begin{bmatrix}1 \\{- 1}\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\{- 1}\end{bmatrix}\quad$ $\begin{bmatrix}1 \\1\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\1\end{bmatrix}\quad$ $\begin{bmatrix}j \\{- j}\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\{- 1}\end{bmatrix}\quad$ $\begin{bmatrix}j \\j\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\1\end{bmatrix}\quad$ $\begin{bmatrix}{- 1} \\1\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\{- 1}\end{bmatrix}\quad$ $\begin{bmatrix}{- 1} \\{- 1}\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\1\end{bmatrix}\quad$ $\begin{bmatrix}{- j} \\j\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\{- 1}\end{bmatrix}\quad$ $\begin{bmatrix}{- j} \\{- j}\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\j\end{bmatrix}\quad$ $\begin{bmatrix}1 \\{- j}\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\{- j}\end{bmatrix}\quad$ $\begin{bmatrix}1 \\j\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\j\end{bmatrix}\quad$ $\begin{bmatrix}j \\1\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\{- j}\end{bmatrix}\quad$ $\begin{bmatrix}1 \\{- j}\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\j\end{bmatrix}\quad$ $\begin{bmatrix}{- 1} \\j\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\{- j}\end{bmatrix}\quad$ $\begin{bmatrix}1 \\1\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\j\end{bmatrix}\quad$ $\begin{bmatrix}{- j} \\{- 1}\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\{- j}\end{bmatrix}\quad$ $\begin{bmatrix}1 \\j\end{bmatrix}\quad$

If a codebook is configured such that ‘1’ is always located in a firstrow and an element of a QPSK phase is located in a second row, then 16types of vector sets of Table 17 can be expressed by Equation 18 below.

TABLE 18 Chordal Chordal distance 1^(st) Vector 2^(nd) Vector distance1^(st) Vector 2^(nd) Vector 5 $\begin{bmatrix}1 \\1\end{bmatrix}\quad$ $\begin{bmatrix}1 \\{- 1}\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\{- 1}\end{bmatrix}\quad$ $\begin{bmatrix}1 \\1\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\j\end{bmatrix}\quad$ $\begin{bmatrix}1 \\{- j}\end{bmatrix}\quad$ 5 $\begin{bmatrix}1 \\{- j}\end{bmatrix}\quad$ $\begin{bmatrix}1 \\j\end{bmatrix}\quad$

4Tx transmission can be used to improve uplink transmission capability.Precoded spatial multiplexing can be used to increase spatialmultiplexing capability in a slow-speed environment. An uplink system isdesigned to have a low PAPR since a signal distortion phenomenon mayoccur depending on a power amplifier of a UE in an uplink. The PAPR isrestricted relatively less in a medium geometry or high geometry area,and thus such an environment can be taken into account in the designingof the codebook. That is, when configuring the codebook, a codebookhaving a cubic metric preserving (CMP) or cubic metric friendly (CMF)format can be configured.

Two codewords mapped to three layers can be taken into considerationwhen configuring the CMP to support a rank 3. Any one of three columns,that is, a column in which one layer is mapped to one codeword, isconfigured as an antenna selection vector, and a precoding matrixcomposed of the remaining columns in which two layers are mapped to onecodeword is selected to have great diversity depending on antennaselection. That is, a column vector having one non-zero element ismapped to a certain layer having one codeword, and this column vectormay be an antenna selection vector for selecting antennas 1 to 4. Forexample, the column vector having one non-zero element can be composedof vectors such as [1000]^(T), [0100]^(T), [0010]^(T), and [0001]^(T).Any one column can be configured as the antenna selection vector amongcolumn vectors for a codeword to which two layers are mapped in a weightmatrix having three columns. The antenna selection vector selects anantenna different from an antenna selected from a column mapped to whicha codeword having one layer is mapped. Any one column can be configuredas a vector for combining two antennas among the column vectors for thecodeword to which two layers are mapped. An element of a vector forantenna combination may have any phase value. For example, the elementof the vector can be expressed by a QPSK or BPSK phase. Any one of twoelements of the vector for antenna combination can be expressed alwaysby a fixed value. ‘1’ may be always mapped to an element of an upper row(or a row of a low index) of the two elements. A magnitude of the twoelements can be normalized to a proper magnitude. For example, eachcolumn can be normalized to a value of 1/sqrt(2) so that a column of thevector for antenna combination has the same power as other columns.

As such, since the chordal distance of the configured codebook set maybe determined according to a relation between columns including twonon-zero elements, the codebook set is configured such that the chordaldistance has a maximum value when determining two non-zero elements. Forexample, the codebook set may be configured such that the chordaldistance has the maximum value by using 16 orthogonal vector sets asshown in Table 17. When any element among the non-zero element has afixed phase, the codebook set may be configured by using 4 orthogonalvector sets so that the chordal distance has the maximum value. Forexample, as shown in Table 18, ‘1’ may be always located in a first rowand an element of a QPSK phase may be located in a second row.

Meanwhile, a codebook set having a distance smaller than the maximumchordal distance can also be configured. Table 19 shows an example ofthe codebook set having the distance smaller than the maximum chordaldistance.

TABLE 19 Set Codebook 1 Codebook 2 A $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\0 & 0 & x\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1 \\0 & 0 & x\end{bmatrix}$ B $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 0 & 1 \\0 & 1 & 0 \\0 & 0 & x\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0 \\0 & 0 & x\end{bmatrix}$ C $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 0 & 1 \\0 & 0 & x \\0 & 1 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\0 & 0 & 1 \\0 & 0 & x \\1 & 0 & 0\end{bmatrix}$ D $\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & x\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & x\end{bmatrix}$ E $\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\1 & 0 & 0 \\0 & 0 & x \\0 & 1 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\0 & 1 & 0 \\0 & 0 & x \\1 & 0 & 0\end{bmatrix}$ F $\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\0 & 0 & x \\1 & 0 & 0 \\0 & 1 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\0 & 0 & x \\0 & 1 & 0 \\1 & 0 & 0\end{bmatrix}$

It is assumed that a first codeword is mapped to a first layer, and asecond codeword is mapped to a second layer and a third layer. In thiscase, the first layer is mapped to a first column, the second layer ismapped to a second column, and the third layer is mapped to a thirdcolumn. Since the second layer and the third layer are mapped to onecodeword, switching performs between the second column and the thirdcolumn results in an equivalent pattern.

An antenna selection vector is used in the first column and the secondcolumn or the third column. Herein, codebook sets A to F represent aswitching pattern between antenna selection codebooks. In a columnhaving two non-zero elements, a first element and a second element mayhave any phase. In the codebooks 1 and 2, a third column is composed ofan orthogonal vector set. For example, a value of ‘1’ may be alwaysmapped to the first element of the third column, and 1 or −1 (or j or−j) may be mapped to the second element. That is, it can be expressed byxε{1, −1} or xε{j, −j}.

Table 20 to Table 25 show examples of a codebook set when xε{1, −1} orxε{j, −j} in the codebook set of Table 19.

TABLE 20 Set Codebook 1 Codebook 2 A-1 $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\0 & 0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1 \\0 & 0 & {- 1}\end{bmatrix}$ A-2 $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\0 & 0 & {- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1 \\0 & 0 & 1\end{bmatrix}$ A-3 $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\0 & 0 & j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1 \\0 & 0 & {- j}\end{bmatrix}$ A-4 $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\0 & 0 & {- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1 \\0 & 0 & j\end{bmatrix}$

TABLE 21 Set Codebook 1 Codebook 2 B-1 $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 0 & 1 \\0 & 1 & 0 \\0 & 0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0 \\0 & 0 & {- 1}\end{bmatrix}$ B-2 $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 0 & 1 \\0 & 1 & 0 \\0 & 0 & {- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0 \\0 & 0 & 1\end{bmatrix}$ B-3 $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 0 & 1 \\0 & 1 & 0 \\0 & 0 & j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0 \\0 & 0 & {- j}\end{bmatrix}$ B-4 $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 0 & 1 \\0 & 1 & 0 \\0 & 0 & {- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0 \\0 & 0 & j\end{bmatrix}$

TABLE 22 Set Codebook 1 Codebook 2 C-1 $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 0 & 1 \\0 & 0 & 1 \\0 & 1 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\0 & 0 & 1 \\0 & 0 & {- 1} \\1 & 0 & 0\end{bmatrix}$ C-2 $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 0 & 1 \\0 & 0 & {- 1} \\0 & 1 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\0 & 0 & 1 \\0 & 0 & 1 \\1 & 0 & 0\end{bmatrix}$ C-3 $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 0 & 1 \\0 & 0 & j \\0 & 1 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\0 & 0 & 1 \\0 & 0 & {- j} \\1 & 0 & 0\end{bmatrix}$ C-4 $\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 0 & 1 \\0 & 0 & {- j} \\0 & 1 & 0\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\0 & 0 & 1 \\0 & 0 & j \\1 & 0 & 0\end{bmatrix}$

TABLE 23 Set Codebook l Codebook 2 D-1 $\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & {- 1}\end{bmatrix}$ D-2 $\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & {- 1}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1\end{bmatrix}$ D-3 $\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & j\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & {- j}\end{bmatrix}$ D-4 $\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & {- j}\end{bmatrix}$ $\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & j\end{bmatrix}$

TABLE 24 Set Codebook 1 Codebook 2 E-1 $\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\1 & 0 & 0 \\0 & 0 & 1 \\0 & 1 & 0\end{bmatrix}$ ${\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\0 & 1 & 0 \\0 & 0 & {- 1} \\1 & 0 & 0\end{bmatrix}}\quad$ E-2 ${\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\1 & 0 & 0 \\0 & 0 & {- 1} \\0 & 1 & 0\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0\end{bmatrix}}\quad$ E-3 ${\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\1 & 0 & 0 \\0 & 0 & j \\0 & 1 & 0\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\0 & 1 & 0 \\0 & 0 & {- j} \\1 & 0 & 0\end{bmatrix}}\quad$ E-4 ${\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\1 & 0 & 0 \\0 & 0 & {- j} \\0 & 1 & 0\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\0 & 1 & 0 \\0 & 0 & j \\1 & 0 & 0\end{bmatrix}}\quad$

TABLE 25 Set Codebook 1 Codebook 2 F-1 ${\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\0 & 0 & 1 \\1 & 0 & 0 \\0 & 1 & 0\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\0 & 0 & {- 1} \\0 & 1 & 0 \\1 & 0 & 0\end{bmatrix}}\quad$ F-2 ${\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\0 & 0 & {- 1} \\1 & 0 & 0 \\0 & 1 & 0\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\0 & 0 & 1 \\0 & 1 & 0 \\1 & 0 & 0\end{bmatrix}}\quad$ F-3 ${\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\0 & 0 & j \\1 & 0 & 0 \\0 & 1 & 0\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\0 & 0 & {- j} \\0 & 1 & 0 \\1 & 0 & 0\end{bmatrix}}\quad$ F-4 ${\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\0 & 0 & {- j} \\1 & 0 & 0 \\0 & 1 & 0\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\0 & 0 & j \\0 & 1 & 0 \\1 & 0 & 0\end{bmatrix}}\quad$

Among the codebook sets A to F, it is assumed that a codebook setconfigured with xε{1, −1} is denoted by a set A, and a codebook setconfigured with xε{j, −j} is denoted by a set B. That is, the set Aincludes {A-1 or A-2}, {B-1 or B-2}, {C-1 or C-2}, {D-1 or D-2}, {E-1 orE-2}, {F-1 or F-2}, and the set B includes {A-3 or A-4}, {B-3 or B-4},{C-3 or C-4}, {D-3 or D-4}, {E-3 or E-4}, {F-3 or F-4}.

Codebooks included in the set A may be selected from ‘1’ or ‘2’ of eachof the codebook sets A to F. Therefore, 64 codebook sets having 12elements can be configured from the set A. Codebooks included in the setB may be selected from ‘3’ or ‘4’ of each of the codebook sets A to F,and 64 codebook sets having 12 elements can be configured from the setB.

Table 26 shows examples of the codebook set which has 12 elements andwhich can be configured from the set A.

TABLE 26 codebook set (see codebook set (see case Tables 21~25) caseTables 21~25) 1 A-1, B-1, C-1, D-1, E-1, F-1 2 A-1, B-1, C-1, D-1, E-1,F-2 3 A-1, B-1, C-1, D-1, E-2, F-1 4 A-1, B-1, C-1, D-1, E-2, F-2 5 A-1,B-1, C-1, D-2, E-1, F-1 6 A-1, B-1, C-1, D-2, E-1, F-2 7 A-1, B-1, C-1,D-2, E-2, F-1 8 A-1, B-1, C-1, D-2, E-2, F-2 9 A-1, B-1, C-2, D-1, E-1,F-1 10 A-1, B-1, C-2, D-1, E-1, F-2 11 A-1, B-1, C-2, D-1, E-2, F-1 12A-1, B-1, C-2, D-1, E-2, F-2 13 A-1, B-1, C-2, D-2, E-1, F-1 14 A-1,B-1, C-2, D-2, E-1, F-2 15 A-1, B-1, C-2, D-2, E-2, F-1 16 A-1, B-1,C-2, D-2, E-2, F-2 17 A-1, B-2, C-1, D-1, E-1, F-1 18 A-1, B-2, C-1,D-1, E-1, F-2 19 A-1, B-2, C-1, D-1, E-2, F-1 20 A-1, B-2, C-1, D-1,E-2, F-2 21 A-1, B-2, C-1, D-2, E-1, F-1 22 A-1, B-2, C-1, D-2, E-1, F-223 A-1, B-2, C-1, D-2, E-2, F-1 24 A-1, B-2, C-1, D-2, E-2, F-2 25 A-1,B-2, C-2, D-1, E-1, F-1 26 A-1, B-2, C-2, D-1, E-1, F-2 27 A-1, B-2,C-2, D-1, E-2, F-1 28 A-1, B-2, C-2, D-1, E-2, F-2 29 A-1, B-2, C-2,D-2, E-1, F-1 30 A-1, B-2, C-2, D-2, E-1, F-2 31 A-1, B-2, C-2, D-2,E-2, F-1 32 A-1, B-2, C-2, D-2, E-2, F-2 33 A-2, B-1, C-1, D-1, E-1, F-134 A-2, B-1, C-1, D-1, E-1, F-2 35 A-2, B-1, C-1, D-1, E-2, F-1 36 A-2,B-1, C-1, D-1, E-2, F-2 37 A-2, B-1, C-1, D-2, E-1, F-1 38 A-2, B-1,C-1, D-2, E-1, F-2 39 A-2, B-1, C-1, D-2, E-2, F-1 40 A-2, B-1, C-1,D-2, E-2, F-2 41 A-2, B-1, C-2, D-1, E-1, F-1 42 A-2, B-1, C-2, D-1,E-1, F-2 43 A-2, B-1, C-2, D-1, E-1, F-1 44 A-2, B-1, C-2, D-1, E-2, F-245 A-2, B-1, C-2, D-2, E-1, F-1 46 A-2, B-1, C-2, D-2, E-1, F-2 47 A-2,B-1, C-2, D-2, E-2, F-1 48 A-2, B-1, C-2, D-2, E-2, F-2 49 A-2, B-2,C-1, D-1, E-1, F-1 50 A-2, B-2, C-1, D-1, E-1, F-2 51 A-2, B-2, C-1,D-1, E-2, F-1 52 A-2, B-2, C-1, D-1, E-2, F-2 53 A-2, B-2, C-1, D-2,E-1, F-1 54 A-2, B-2, C-1, D-2, E-1, F-2 55 A-2, B-2, C-1, D-2, E-2, F-156 A-2, B-2, C-1, D-2, E-2, F-2 57 A-2, B-2, C-2, D-1, E-1, F-1 58 A-2,B-2, C-2, D-1, E-1, F-2 59 A-2, B-2, C-2, D-1, E-2, F-1 60 A-2, B-2,C-2, D-1, E-2, F-2 61 A-2, B-2, C-2, D-2, E-1, F-1 62 A-2, B-2, C-2,D-2, E-1, F-2 63 A-2, B-2, C-2, D-2, E-2, F-1 64 A-2, B-2, C-2, D-2,E-2, F-2

A codebook may be configured by using some sets from the codebook sets Ato F of Table 19. For example, the codebook sets A, B, E, and F may beused. This is for exemplary purposes only, and thus there is norestriction on the number of some selected sets and the type of theselected set.

Among the codebook sets A, B, E, and F, it is assumed that a codebookset configured with xε{1, −1} is denoted by a set A′, and a codebook setconfigured with xε{j, −j} is denoted by a set B′. That is, the set A′includes {A-1 or A-2}, {B-1 or B-2}, {E-1 or E-2}, {F-1 or F-2}, and theset B′ includes {A-3 or A-4}, {B-3 or B-4}, {E-3 or E-4}, {F-3 or F-4}.

Codebooks included in the set A′ may be selected from ‘1’ or ‘2’ of eachof the codebook sets A, B, E, and F, and 16 codebook sets having 8elements can be configured from the set A′. Codebooks included in theset B′ may be selected from ‘3’ or ‘4’ of each of the codebook sets A,B, E, and F, and 16 codebook sets having 8 elements can be configuredfrom the set B′.

Table 27 shows examples of the codebook set which has 8 elements andwhich can be configured from the set A′.

TABLE 27 codebook set (see codebook set (see case Tables 21~25) caseTables 21~25) 1 A-1, B-1, E-1, F-1 2 A-1, B-1, E-1, F-2 3 A-1, B-1, E-2,F-1 4 A-1, B-1, E-2, F-2 5 A-1, B-2, E-1, F-1 6 A-1, B-2, E-1, F-2 7A-1, B-2, E-2, F-1 8 A-1, B-2, E-2, F-2 9 A-2, B-1, E-1, F-1 10 A-2,B-1, E-1, F-2 11 A-2, B-1, E-2, F-1 12 A-2, B-1, E-2, F-2 13 A-2, B-2,E-1, F-1 14 A-2, B-2, E-1, F-2 15 A-2, B-2, E-2, F-1 16 A-2, B-2, E-2,F-2

The codebook sets A, B, C, and D can be used from the codebook sets A toF of Table 19. This is for exemplary purposes only, and thus there is norestriction on the number of some selected sets and the type of theselected set.

Among the codebook sets A, B, C, and D, it is assumed that a codebookset configured with xε{1, −1} is denoted by a set A″, and a codebook setconfigured with xε{j, −j} is denoted by a set B″. That is, the set A″includes {A-1 or A-2}, {B-1 or B-2}, {C-1 or C-2}, {D-1 or D-2}, and theset B″ includes {A-3 or A-4}, {B-3 or B-4}, {C-3 or C-4}, {D-3 or D-4}.

Codebooks included in the set A″ may be selected from ‘1’ or ‘2’ of eachof the codebook sets A, B, C, and D, and 16 codebook sets having 8elements can be configured from the set A″. Codebooks included in theset B″ may be selected from ‘3’ or ‘4’ of each of the codebook sets A,B, C, and D, and 16 codebook sets having 8 elements can be configuredfrom the set B″.

Table 28 shows examples of the codebook set which has 8 elements andwhich can be configured from the set A″.

TABLE 28 codebook set (see codebook set (see case Tables 21~25) caseTables 21~25) 1 A-1, B-1, C-1, D-1 2 A-1, B-1, C-1, D-2 3 A-1, B-1, C-2,D-1 4 A-1, B-1, C-2, D-2 5 A-1, B-2, C-1, D-1 6 A-1, B-2, C-1, D-2 7A-1, B-2, C-2, D-1 8 A-1, B-2, C-2, D-2 9 A-2, B-1, C-1, D-1 10 A-2,B-1, C-1, D-2 11 A-2, B-1, C-2, D-1 12 A-2, B-1, C-2, D-2 13 A-2, B-2,C-1, D-1 14 A-2, B-2, C-1, D-2 15 A-2, B-2, C-2, D-1 16 A-2, B-2, C-2,D-2

As such, any four codebook sets may be selected from the 6 codebook setsA to F of Table 19. The number of cases of any four codebook setsselected from the 6 codebook sets A to F is 6c4=15. A codebook sethaving 8 elements can be configured from a set selected from ‘1’ or ‘2’of a codebook set of xε{1, −1} among the selected any four codebooksets. Alternatively, a codebook sets having 8 elements can be configuredfrom a set selected from ‘3’ or ‘4’ of a codebook sets of xε{j, −j}among the selected any four codebook sets.

A codebook can be configured by using two sets among the codebook sets Ato F of Table 19. For example, the codebook sets A and F can be used.This is for exemplary purposes only, and thus there is no restriction onthe number of some selected sets and the type of the selected set.

Between the codebook sets A and F, it is assumed that a codebook setconfigured with xε{1, −1} is denoted by a set A′″, and a codebook setconfigured with xε{j, −j} is denoted by a set B′″. That is, the set A′″includes {A-1 or A-2}, {F-1 or F-2}, and the set B′″ includes {A-3 orA-4}, {F-3 or F-4}.

Codebooks included in the set A′″ may be selected from ‘1’ or ‘2’ ofeach of the codebook sets A and F, and 16 codebook sets having 4elements can be configured from the set A′″. Codebooks included in theset B′″ may be selected from ‘3’ or ‘4’ of each of the codebook sets Aand F, and 16 codebook sets having 4 elements can be configured from theset B′″.

Table 29 shows examples of the codebook set which has 4 elements andwhich can be configured from the set A′″.

TABLE 29 codebook set (see codebook set (see case Tables 21~25) caseTables 21~25) 1 A-1, F-1 2 A-1, F-2 3 A-2, F-1 4 A-2, F-2

Although it is shown herein that a second element of the codebook sethaving 4 elements is xε{1, −1}, the second element may also beconfigured with xε{j, −j}.

Meanwhile, when configuring the codebook having 12 elements, any twocodebook sets may be selected from Table 19, and a second element of theselected codebook set may be configured with xε{j, −1, −j}.

Table 30 shows an example of a codebook when a second element of aselected codebook set is configured with xε{j, −1, −j}. This is casewhere the codebook sets A and F of Table 19 are selected.

TABLE 30 ${\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\0 & 0 & j\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\0 & 0 & {- 1}\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\0 & 0 & {- j}\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1 \\0 & 0 & j\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1 \\0 & 0 & {- 1}\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1 \\0 & 0 & {- j}\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\0 & 0 & j \\1 & 0 & 0 \\0 & 1 & 0\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\0 & 0 & {- 1} \\1 & 0 & 0 \\0 & 1 & 0\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\0 & 0 & {- j} \\1 & 0 & 0 \\0 & 1 & 0\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\0 & 0 & j \\0 & 1 & 0 \\1 & 0 & 0\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\0 & 0 & {- 1} \\0 & 1 & 0 \\1 & 0 & 0\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}0 & 0 & 1 \\0 & 0 & {- j} \\0 & 1 & 0 \\1 & 0 & 0\end{bmatrix}}\quad$

A codebook set can be configured in various manners in a UE or a BS. TheUE can configure the codebook set. When the UE can use codebooks ofdifferent types and characteristics, the UE can select and use aspecific codebook set. In this case, the UE can report the selectedcodebook set to the BS. When configuring the codebook sets of differenttypes or characteristics, a system may use all codebook sets or mayselectively use only the specific codebook set. In case of using onlythe specific codebook set, a codebook set to be used has to be approvedbetween the BS and the UE before applying the codebook set to be used.For this, the UE can select a group of codebook sets desired to be usedand report it to the BS. The BS can approve the codebook set selected bythe UE. Alternatively, the BS can report the group of the codebook setsto be used to the UE. It can be achieved through specific signaling whenthe UE reports the group of the selected codebook sets to the BS, orwhen the BS approves the codebook set selected by the UE, or when the BSreports the group of the codebook sets to be used to the UE. Forexample, it can be achieved by using higher layer signaling such as RRCsignaling, or specific signaling can be achieved through a physicaldownlink control channel (PDCCH).

The codebook sets of different types or characteristics may be acodebook set (e.g., a house holder codebook) defined for downlinktransmission, a CMF codebook capable of increasing spatial diversitydespite having a slightly high cubic metric (CM), a CMP codebook capableof ensuring a low CM. The codebook set of different types orcharacteristics may be used together with several types of codebooksets. For example, the CMF codebook and the CMP codebook can be combinedand used.

Table 31 shows an example of a codebook set configured by combining theCMF codebook and the CMP codebook.

TABLE 31 codebook set CMF(12 elements) + CMP(12 elements) CMF(12elements) + CMP(10 elements) CMF(12 elements) + CMP(8 elements) CMF(12elements) + CMP(4 elements) CMF(10 elements) + CMP(12 elements) CMF(8elements) + CMP(12 elements) CMF(4 elements) + CMP(12 elements)

The number of elements included in the CMF codebook and the CMP codebookis for exemplary purposes only, and there is no restriction on thenumber of elements included in each codebook.

Table 32 shows an example of a codebook set including 12 CMF precodingmatrices having a size of 12.

TABLE 32 ${\frac{1}{\sqrt{6}}\begin{bmatrix}1 & 1 & 0 \\1 & 0 & 1 \\1 & {- 1} & 0 \\1 & 0 & {- 1}\end{bmatrix}} \times \Lambda\quad$ ${\frac{1}{\sqrt{6}}\begin{bmatrix}1 & 1 & 0 \\1 & 0 & 1 \\j & {- j} & 0 \\{- j} & 0 & j\end{bmatrix}}{\quad{\times \Lambda}}$${\frac{1}{\sqrt{6}}\begin{bmatrix}1 & 1 & 0 \\1 & 0 & 1 \\{- 1} & 1 & 0 \\{- 1} & 0 & 1\end{bmatrix}}{\quad{\times \Lambda}}$${\frac{1}{\sqrt{6}}\begin{bmatrix}1 & 1 & 0 \\{- j} & 0 & 1 \\j & {- j} & 0 \\1 & 0 & {- j}\end{bmatrix}}{\quad{\times \Lambda}}$${\frac{1}{\sqrt{6}}\begin{bmatrix}1 & 1 & 0 \\j & {- j} & 0 \\1 & 0 & 1 \\{- j} & 0 & j\end{bmatrix}}{\quad{\times \Lambda}}$${\frac{1}{\sqrt{6}}\begin{bmatrix}1 & 1 & 0 \\j & {- j} & 0 \\j & 0 & 1 \\{- 1} & 0 & {- j}\end{bmatrix}}{\quad{\times \Lambda}}$${\frac{1}{\sqrt{6}}\begin{bmatrix}1 & 1 & 0 \\j & {- j} & 0 \\{- 1} & 0 & 1 \\j & 0 & j\end{bmatrix}}{\quad{\times \Lambda}}$${\frac{1}{\sqrt{6}}\begin{bmatrix}1 & 1 & 0 \\{- j} & j & 0 \\{- 1} & 0 & 1 \\{- j} & 0 & {- j}\end{bmatrix}}{\quad{\times \Lambda}}$${\frac{1}{\sqrt{6}}\begin{bmatrix}1 & 1 & 0 \\{- 1} & 0 & 1 \\1 & 0 & 1 \\{- 1} & 1 & 0\end{bmatrix}}{\quad{\times \Lambda}}$${\frac{1}{\sqrt{6}}\begin{bmatrix}1 & 1 & 0 \\{- 1} & 0 & 1 \\j & 0 & j \\j & {- j} & 0\end{bmatrix}}{\quad{\times \Lambda}}$${\frac{1}{\sqrt{6}}\begin{bmatrix}1 & 1 & 0 \\{- 1} & 0 & 1 \\{- 1} & 0 & {- 1} \\1 & {- 1} & 0\end{bmatrix}}{\quad{\times \Lambda}}$${\frac{1}{\sqrt{6}}\begin{bmatrix}1 & 1 & 0 \\{- 1} & 0 & 1 \\{- j} & 0 & {- j} \\{- j} & j & 0\end{bmatrix}}{\quad{\times \Lambda}}$

Herein,

$\Lambda = \begin{bmatrix}{1/\sqrt{2}} & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1\end{bmatrix}$is a factor for normalizing a column vector for the CMF precodingmatrix. The CMF precoding matrix can ensure a CM of 4.

It is assumed that a first codeword is mapped to a first layer, and asecond codeword is mapped to a second layer and a third layer. In thiscase, the first layer is mapped to a first column, the second layer ismapped to a second column, and the third layer is mapped to a thirdcolumn.

Unlike the aforementioned example, an antenna selection vector may beused in the second column and the third column. Herein, the codebooksets A to F represent a switching pattern between antenna selectioncodebooks. In a column having two non-zero element, a first element anda second element may have any phase. In the codebook set, a first columnis configured with an orthogonal vector set. For example, a value of ‘1’may be always mapped to a first element of the first column, and 1 or −1(or j or −j) may be mapped to a second element. If the second element isdenoted by x, it can be expressed by xε{1, −1} or xε{j, −j}.

Table 33 shows an example of a codebook set in case of xε{1, −1} orxε{j, −j}.

TABLE 33 A B C D E F (1) x = 1 ${\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\1 & 0 & 0 \\0 & 0 & 1\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1 \\1 & 0 & 0\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0 \\1 & 0 & 0\end{bmatrix}}\quad$ (2) x = −1 ${\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\{- 1} & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\{- 1} & 0 & 0 \\0 & 0 & 1\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\{- 1} & 0 & 0\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\{- 1} & 0 & 0 \\0 & 0 & 1\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1 \\{- 1} & 0 & 0\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0 \\{- 1} & 0 & 0\end{bmatrix}}\quad$ (3) x = j ${\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\j & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\j & 0 & 0 \\0 & 0 & 1\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\j & 0 & 0\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\j & 0 & 0 \\0 & 0 & 1\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1 \\j & 0 & 0\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0 \\j & 0 & 0\end{bmatrix}}\quad$ (4) x = −j ${\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\{- j} & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\{- j} & 0 & 0 \\0 & 0 & 1\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\{- j} & 0 & 0\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\{- j} & 0 & 0 \\0 & 0 & 1\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1 \\{- j} & 0 & 0\end{bmatrix}}\quad$ ${\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0 \\{- j} & 0 & 0\end{bmatrix}}\quad$

Referring to Table 33, A to F denote groups each having a plurality ofelements depending on a value of x. Each group may be composed of 4elements when a value x is a QPSK value, and may be configured of 2elements when the value x is a BPSK value. By using these groups, acodebook set having 8, 12, 16, and 20 elements can be configured.

(1) First, a method of configuring a codebook set having 8 elements willbe described.

A. Two groups are selected from the groups A, B, C, D, E, and F of Table33. Each of the selected groups can be configured with QPSK.

In the following tables, A1 denotes a matrix when x=1 in the group A ofTable 33, A2 denotes a matrix when x=−1 in the group A of Table 33, andA3 denotes a matrix when x=j in the group A of Table 33, and A4 denotesa matrix when x=−j in the group A of Table 33. The same is also appliedto the groups B, C, D, E, and F.

Table 34 shows examples of a codebook set having 8 elements by selectingtwo groups.

TABLE 34 codebook set (see codebook set (see case Table 33) case Table33) 1 A1, A2, A3, A4, B1, B2, B3, B4 2 A1, A2, A3, A4, C1, C2, C3, C4 3A1, A2, A3, A4, D1, D2, D3, D4 4 A1, A2, A3, A4, E1, E2, E3, E4 5 A1,A2, A3, A4, F1, F2, F3, F4 6 B1, B2, B3, B4, C1, C2, C3, C4 7 B1, B2,B3, B4, D1, D2, D3, D4 8 B1, B2, B3, B4, E1, E2, E3, E4 9 B1, B2, B3,B4, F1, F2, F3, F4 10 C1, C2, C3, C4, D1, D2, D3, D4 11 C1, C2, C3, C4,E1, E2, E3, E4 12 C1, C2, C3, C4, F1, F2, F3, F4 13 D1, D2, D3, D4, E1,E2, E3, E4 14 D1, D2, D3, D4, F1, F2, F3, F4 15 E1, E2, E3, E4, F1, F2,F3, F4

B. In another method of configuring a codebook set having 8 elements,three groups are selected from the groups A, B, C, D, E, and F of Table33. One of the selected groups may be configured with QPSK, and theremaining two groups may be configured with BPSK.

Table 35 shows examples of a codebook set having 8 elements by selectingthree groups.

TABLE 35 codebook set (see codebook set (see case Table 33) case Table33) 1 A1, A2, A3, A4, B1, B2, C1, C2 2 A1, A2, A3, A4, B1, B2, C3, C4 3A1, A2, A3, A4, B3, B4, C1, C2 4 A1, A2, A3, A4, B3, B4, C3, C4 5 A1,A2, A3, A4, B1, B2, D1, D2 6 A1, A2, A3, A4, B1, B2, D3, D4 7 A1, A2,A3, A4, B3, B4, D1, D2 8 A1, A2, A3, A4, B3, B4, D3, D4 9 A1, A2, A3,A4, B1, B2, E1, E2 10 A1, A2, A3, A4, B1, B2, E3, E4 11 A1, A2, A3, A4,B3, B4, E1, E2 12 A1, A2, A3, A4, B3, B4, E3, E4 13 A1, A2, A3, A4, B1,B2, F1, F2 14 A1, A2, A3, A4, B1, B2, F3, F4 15 A1, A2, A3, A4, B3, B4,F1, F2 16 A1, A2, A3, A4, B3, B4, F3, F4 17 A1, A2, A3, A4, C1, C2, D1,D2 18 A1, A2, A3, A4, C1, C2, D3, D4 19 A1, A2, A3, A4, C3, C4, D1, D220 A1, A2, A3, A4, C3, C4, D3, D4 21 A1, A2, A3, A4, C1, C2, E1, E2 22A1, A2, A3, A4, C1, C2, E3, E4 23 A1, A2, A3, A4, C3, C4, E1, E2 24 A1,A2, A3, A4, C3, C4, E3, E4 25 A1, A2, A3, A4, C1, C2, F1, F2 26 A1, A2,A3, A4, C1, C2, F3, F4 27 A1, A2, A3, A4, C3, C4, F1, F2 28 A1, A2, A3,A4, C3, C4, F3, F4 29 A1, A2, A3, A4, D1, D2, E1, E2 30 A1, A2, A3, A4,D1, D2, E3, E4 31 A1, A2, A3, A4, D3, D4, E1, E2 32 A1, A2, A3, A4, D3,D4, E3, E4 33 A1, A2, A3, A4, D1, D2, F1, F2 34 A1, A2, A3, A4, D1, D2,F3, F4 35 A1, A2, A3, A4, D3, D4, F1, F2 36 A1, A2, A3, A4, D3, D4, F3,F4 37 A1, A2, A3, A4, E1, E2, F1, F2 38 A1, A2, A3, A4, E1, E2, F3, F439 A1, A2, A3, A4, E3, E4, F1, F2 40 A1, A2, A3, A4, E3, E4, F3, F4 41A1, A2, B1, B2, B3, B4, C1, C2 42 A1, A2, B1, B2, B3, B4, C3, C4 43 A3,A4, B1, B2, B3, B4, C1, C2 44 A3, A4, B1, B2, B3, B4, C3, C4 45 A1, A2,B1, B2, B3, B4, D1, D2 46 A1, A2, B1, B2, B3, B4, D3, D4 47 A3, A4, B1,B2, B3, B4, D1, D2 48 A3, A4, B1, B2, B3, B4, D3, D4 49 A1, A2, B1, B2,B3, B4, E1, E2 50 A1, A2, B1, B2, B3, B4, E3, E4 51 A3, A4, B1, B2, B3,B4, E1, E2 52 A3, A4, B1, B2, B3, B4, E3, E4 53 A1, A2, B1, B2, B3, B4,F1, F2 54 A1, A2, B1, B2, B3, B4, F3, F4 55 A3, A4, B1, B2, B3, B4, F1,F2 56 A3, A4, B1, B2, B3, B4, F3, F4 57 B1, B2, B3, B4, C1, C2, D1, D258 B1, B2, B3, B4, C1, C2, D3, D4 59 B1, B2, B3, B4, C3, C4, D1, D2 60B1, B2, B3, B4, C3, C4, D3, D4 61 B1, B2, B3, B4, C1, C2, E1, E2 62 B1,B2, B3, B4, C1, C2, E3, E4 63 B1, B2, B3, B4, C3, C4, E1, E2 64 B1, B2,B3, B4, C3, C4, E3, E4 65 B1, B2, B3, B4, C1, C2, F1, F2 66 B1, B2, B3,B4, C1, C2, F3, F4 67 B1, B2, B3, B4, C3, C4, F1, F2 68 B1, B2, B3, B4,C3, C4, F3, F4 69 B1, B2, B3, B4, D1, D2, E1, E2 70 B1, B2, B3, B4, D1,D2, E3, E4 71 B1, B2, B3, B4, D3, D4, E1, E2 72 B1, B2, B3, B4, D3, D4,E3, E4 73 B1, B2, B3, B4, D1, D2, F1, F2 74 B1, B2, B3, B4, D1, D2, F3,F4 75 B1, B2, B3, B4, D3, D4, F1, F2 76 B1, B2, B3, B4, D3, D4, F3, F477 B1, B2, B3, B4, E1, E2, F1, F2 78 B1, B2, B3, B4, E1, E2, F3, F4 79B1, B2, B3, B4, E3, E4, F1, F2 80 B1, B2, B3, B4, E3, E4, F3, F4 81 A1,A2, B1, B2, C1, C2, C3, C4 82 A1, A2, B3, B4, C1, C2, C3, C4 83 A3, A4,B1, B2, C1, C2, C3, C4 84 A3, A4, B3, B4, C1, C2, C3, C4 85 A1, A2, C1,C2, C3, C4, D1, D2 86 A1, A2, C1, C2, C3, C4, D3, D4 87 A3, A4, C1, C2,C3, C4, D1, D2 88 A3, A4, C1, C2, C3, C4, D3, D4 89 A1, A2, C1, C2, C3,C4, E1, E2 90 A1, A2, C1, C2, C3, C4, E3, E4 91 A3, A4, C1, C2, C3, C4,E1, E2 92 A3, A4, C1, C2, C3, C4, E3, E4 93 A1, A2, C1, C2, C3, C4, F1,F2 94 A1, A2, C1, C2, C3, C4, F3, F4 95 A3, A4, C1, C2, C3, C4, F1, F296 A3, A4, C1, C2, C3, C4, F3, F4 97 B1, B2, C1, C2, C3, C4, D1, D2 98B1, B2, C1, C2, C3, C4, D3, D4 99 B3, B4, C1, C2, C3, C4, D1, D2 100 B3,B4, C1, C2, C3, C4, D3, D4 101 B1, B2, C1, C2, C3, C4, E1, E2 102 B1,B2, C1, C2, C3, C4, E3, E4 103 B3, B4, C1, C2, C3, C4, E1, 2E 104 B3,B4, C1, C2, C3, C4, E3, E4 105 B1, B2, C1, C2, C3, C4, F1, F2 106 B1,B2, C1, C2, C3, C4, F3, F4 107 B3, B4, C1, C2, C3, C4, F1, F2 108 B3,B4, C1, C2, C3, C4, F3, F4 109 C1, C2, C3, C4, D1, D2, E1, E2 110 C1,C2, C3, C4, D1, D2, E3, E4 111 C1, C2, C3, C4, D3, D4, E1, E2 112 C1,C2, C3, C4, D3, D4, E3, E4 113 C1, C2, C3, C4, D1, D2, F1, F2 114 C1,C2, C3, C4, D1, D2, F3, F4 115 C1, C2, C3, C4, D3, D4, F1, F2 116 C1,C2, C3, C4, D3, D4, F3, F4 117 C1, C2, C3, C4, E1, E2, F1, F2 118 C1,C2, C3, C4, E1, E2, F3, F4 119 C1, C2, C3, C4, E3, E4, F1, F2 120 C1,C2, C3, C4, E3, E4, F3, F4 121 A1, A2, B1, B2, D1, D2, D3, D4 122 A1,A2, B3, B4, D1, D2, D3, D4 123 A3, A4, B1, B2, D1, D2, D3, D4 124 A3,A4, B3, B4, D1, D2, D3, D4 125 A1, A2, C1, C2, D1, D2, D3, D4 126 A1,A2, C3, C4, D1, D2, D3, D4 127 A3, A4, C1, C2, D1, D2, D3, D4 128 A3,A4, C3, C4, D1, D2, D3, D4 129 A1, A2, D1, D2, D3, D4, E1, E2 130 A1,A2, D1, D2, D3, D4, E3, E4 131 A3, A4, D1, D2, D3, D4, E1, E2 132 A3,A4, D1, D2, D3, D4, E3, E4 133 A1, A2, D1, D2, D3, D4, F1, F2 134 A1,A2, D1, D2, D3, D4, F3, F4 135 A3, A4, D1, D2, D3, D4, F1, F2 136 A3,A4, D1, D2, D3, D4, F3, F4 137 B1, B2, C1, C2, D1, D2, D3, D4 138 B1,B2, C3, C4, D1, D2, D3, D4 139 B3, B4, C1, C2, D1, D2, D3, D4 140 B3,B4, C3, C4, D1, D2, D3, D4 141 B1, B2, D1, D2, D3, D4, E1, E2 142 B1,B2, D1, D2, D3, D4, E3, E4 143 B3, B4, D1, D2, D3, D4, E1, E2 144 B3,B4, D1, D2, D3, D4, E3, E4 145 B1, B2, D1, D2, D3, D4, F1, F2 146 B1,B2, D1, D2, D3, D4, F3, F4 147 B3, B4, D1, D2, D3, D4, F1, F2 148 B3,B4, D1, D2, D3, D4, F3, F4 149 C1, C2, D1, D2, D3, D4, E1, E2 150 C1,C2, D1, D2, D3, D4, E3, E4 151 C3, C4, D1, D2, D3, D4, E1, E2 152 C3,C4, D1, D2, D3, D4, E3, E4 153 C1, C2, D1, D2, D3, D4, F1, F2 154 C1,C2, D1, D2, D3, D4, F3, F4 155 C3, C4, D1, D2, D3, D4, F1, F2 156 C3,C4, D1, D2, D3, D4, F3, F4 157 D1, D2, D3, D4, E1, E2, F1, F2 158 D1,D2, D3, D4, E1, E2, F3, F4 159 D1, D2, D3, D4, E3, E4, F1, F2 160 D1,D2, D3, D4, E3, E4, F3, F4 161 A1, A2, B1, B2, E1, E2, E3, E4 162 A1,A2, B3, B4, E1, E2, E3, E4 163 A3, A4, B1, B2, E1, E2, E3, E4 164 A3,A4, B3, B4, E1, E2, E3, E4 165 A1, A2, C1, C2, E1, E2, E3, E4 166 A1,A2, C3, C4, E1, E2, E3, E4 167 A3, A4, C1, C2, E1, E2, E3, E4 168 A3,A4, C3, C4, E1, E2, E3, E4 169 A1, A2, D1, D2, E1, E2, E3, E4 170 A1,A2, D3, D4, E1, E2, E3, E4 171 A3, A4, D1, D2, E1, E2, E3, E4 172 A3,A4, D3, D4, E1, E2, E3, E4 173 A1, A2, E1, E2, E3, E4, F1, F2 174 A1,A2, E1, E2, E3, E4, F3, F4 175 A3, A4, E1, E2, E3, E4, F1, F2 176 A3,A4, E1, E2, E3, E4, F3, F4 177 B1, B2, C1, C2, E1, E2, E3, E4 178 B1,B2, C3, C4, E1, E2, E3, E4 179 B3, B4, C1, C2, E1, E2, E3, E4 180 B3,B4, C3, C4, E1, E2, E3, E4 181 B1, B2, D1, D2, E1, E2, E3, E4 182 B1,B2, D3, D4, E1, E2, E3, E4 183 B3, B4, D1, D2, E1, E2, E3, E4 184 B3,B4, D3, D4, E1, E2, E3, E4 185 B1, B2, E1, E2, E3, E4, F1, F2 186 B1,B2, E1, E2, E3, E4, F3, F4 187 B3, B4, E1, E2, E3, E4, F1, F2 188 B3,B4, E1, E2, E3, E4, F3, F4 189 C1, C2, D1, D2, E1, E2, E3, E4 190 C1,C2, D3, D4, E1, E2, E3, E4 191 C3, C4, D1, D2, E1, E2, E3, E4 192 C3,C4, D3, D4, E1, E2, E3, E4 193 C1, C2, E1, E2, E3, E4, F1, F2 194 C1,C2, E1, E2, E3, E4, F3, F4 195 C3, C4, E1, E2, E3, E4, F1, F2 196 C3,C4, E1, E2, E3, E4, F3, F4 197 D1, D2, E1, E2, E3, E4, F1, F2 198 D1,D2, E1, E2, E3, E4, F3, F4 199 D3, D4, E1, E2, E3, E4, F1, F2 200 D3,D4, E1, E2, E3, E4, F3, F4 201 A1, A2, B1, B2, F1, F2, F3, F4 202 A1,A2, B3, B4, F1, F2, F3, F4 203 A3, A4, B1, B2, F1, F2, F3, F4 204 A3,A4, B3, B4, F1, F2, F3, F4 205 A1, A2, C1, C2, F1, F2, F3, F4 206 A1,A2, C3, C4, F1, F2, F3, F4 207 A3, A4, C1, C2, F1, F2, F3, F4 208 A3,A4, C3, C4, F1, F2, F3, F4 209 A1, A2, D1, D2, F1, F2, F3, F4 210 A1,A2, D3, D4, F1, F2, F3, F4 211 A3, A4, D1, D2, F1, F2, F3, F4 212 A3,A4, D3, D4, F1, F2, F3, F4 213 A1, A2, E1, E2, F1, F2, F3, F4 214 A1,A2, E3, E4, F1, F2, F3, F4 215 A3, A4, E1, E2, F1, F2, F3, F4 216 A3,A4, E3, E4, F1, F2, F3, F4 217 B1, B2, C1, C2, F1, F2, F3, F4 218 B1,B2, C3, C4, F1, F2, F3, F4 219 B3, B4, C1, C2, F1, F2, F3, F4 220 B3,B4, C3, C4, F1, F2, F3, F4 221 B1, B2, D1, D2, F1, F2, F3, F4 222 B1,B2, D3, D4, F1, F2, F3, F4 223 B3, B4, D1, D2, F1, F2, F3, F4 224 B3,B4, D3, D4, F1, F2, F3, F4 225 B1, B2, E1, E2, F1, F2, F3, F4 226 B1,B2, E3, E4, F1, F2, F3, F4 227 B3, B4, E1, E2, F1, F2, F3, F4 228 B3,B4, E3, E4, F1, F2, F3, F4 229 C1, C2, D1, D2, F1, F2, F3, F4 230 C1,C2, D3, D4, F1, F2, F3, F4 231 C3, C4, D1, D2, F1, F2, F3, F4 232 C3,C4, D3, D4, F1, F2, F3, F4 233 C1, C2, E1, E2, F1, F2, F3, F4 234 C1,C2, E3, E4, F1, F2, F3, F4 235 C3, C4, E1, E2, F1, F2, F3, F4 236 C3,C4, E3, E4, F1, F2, F3, F4 237 D1, D2, E1, E2, F1, F2, F3, F4 238 D1,D2, E3, E4, F1, F2, F3, F4 239 D3, D4, E1, E2, F1, F2, F3, F4 240 D3,D4, E3, E4, F1, F2, F3, F4

C. In another method of configuring a codebook set having 8 elements,four groups are selected from the groups A, B, C, D, E, and F of Table33. Each of the selected group may be configured with BPSK.

D. In another method of configuring a codebook set having 8 elements,among the groups A, B, C, D, E, and F of Table 33, four groups may beconfigured with BPSK, and the remaining two groups may be configuredwith ‘1’.

(2) Now, a method of configuring a codebook set having 12 elements willbe described.

A. Three groups are selected from the groups A, B, C, D, E, and F ofTable 33. Each of the selected group may be configured with QPSK.

Table 36 below shows examples of a codebook set having 12 elements byselecting three groups.

TABLE 36 case codebook set (see Table 33) 1 A1, A2, A3, A4, B1, B2, B3,B4, C1, C2, C3, C4 2 A1, A2, A3, A4, B1, B2, B3, B4, D1, D2, D3, D4 3A1, A2, A3, A4, B1, B2, B3, B4, E1, E2, E3, E4 4 A1, A2, A3, A4, B1, B2,B3, B4, F1, F2, F3, F4 5 A1, A2, A3, A4, C1, C2, C3, C4, D1, D2, D3, D46 A1, A2, A3, A4, C1, C2, C3, C4, E1, E2, E3, E4 7 A1, A2, A3, A4, C1,C2, C3, C4, F1, F2, F3, F4 8 A1, A2, A3, A4, D1, D2, D3, D4, E1, E2, E3,E4 9 A1, A2, A3, A4, D1, D2, D3, D4, F1, F2, F3, F4 10 A1, A2, A3, A4,E1, E2, E3, E4, F1, F2, F3, F4 11 B1, B2, B3, B4, C1, C2, C3, C4, D1,D2, D3, D4 12 B1, B2, B3, B4, C1, C2, C3, C4, E1, E2, E3, E4 13 B1, B2,B3, B4, C1, C2, C3, C4, F1, F2, F3, F4 14 B1, B2, B3, B4, D1, D2, D3,D4, E1, E2, E3, E4 15 B1, B2, B3, B4, D1, D2, D3, D4, F1, F2, F3, F4 16B1, B2, B3, B4, E1, E2, E3, E4, F1, F2, F3, F4 17 C1, C2, C3, C4, D1,D2, D3, D4, E1, E2, E3, E4 18 C1, C2, C3, C4, D1, D2, D3, D4, F1, F2,F3, F4 19 C1, C2, C3, C4, E1, E2, E3, E4, F1, F2, F3, F4 20 D1, D2, D3,D4, E1, E2, E3, E4, F1, F2, F3, F4

B. In another method of configuring a codebook set having 12 elements,four groups are selected from the groups A, B, C, D, E, and F of Table33. Among the selected four groups, two groups may be configured withQPSK, and the remaining two groups may be configured with BPSK.

Table 37 shows examples of a codebook set having 12 elements byselecting four groups.

TABLE 37 case codebook set case codebook set 1 A1, A2, A3, A4, B1, B2,B3, B4, C1, C2, D1, D2 2 A1, A2, A3, A4, B1, B2, B3, B4, C1, C2, D3, D43 A1, A2, A3, A4, B1, B2, B3, B4, C3, C4, D1, D2 4 A1, A2, A3, A4, B1,B2, B3, B4, C3, C4, D3, D4 5 A1, A2, A3, A4, B1, B2, C1, C2, C3, C4, D1,D2 6 A1, A2, A3, A4, B1, B2, C1, C2, C3, C4, D3, D4 7 A1, A2, A3, A4,B3, B4, C1, C2, C3, C4, D1, D2 8 A1, A2, A3, A4, B3, B4, C1, C2, C3, C4,D3, D4 9 A1, A2, A3, A4, B1, B2, C1, C2, D1, D2, D3, D4 10 A1, A2, A3,A4, B1, B2, C3, C4, D1, D2, D3, D4 11 A1, A2, A3, A4, B3, B4, C1, C2,D1, D2, D3, D4 12 A1, A2, A3, A4, B3, B4, C3, C4, D1, D2, D3, D4 13 A1,A2, B1, B2, B3, B4, C1, C2, C3, C4, D1, D2 14 A1, A2, B1, B2, B3, B4,C1, C2, C3, C4, D3, D4 15 A3, A4, B1, B2, B3, B4, C1, C2, C3, C4, D1, D216 A3, A4, B1, B2, B3, B4, C1, C2, C3, C4, D3, D4 17 A1, A2, B1, B2, B3,B4, C1, C2, D1, D2, D3, D4 18 A1, A2, B1, B2, B3, B4, C3, C4, D1, D2,D3, D4 19 A3, A4, B1, B2, B3, B4, C1, C2, D1, D2, D3, D4 20 A3, A4, B1,B2, B3, B4, C3, C4, D1, D2, D3, D4 21 A1, A2, B1, B2, C1, C2, C3, C4,D1, D2, D3, D4 22 A1, A2, B3, B4, C1, C2, C3, C4, D1, D2, D3, D4 23 A3,A4, B1, B2, C1, C2, C3, C4, D1, D2, D3, D4 24 A3, A4, B3, B4, C1, C2,C3, C4, D1, D2, D3, D4 25 A1, A2, A3, A4, B1, B2, B3, B4, C1, C2, E1, E226 A1, A2, A3, A4, B1, B2, B3, B4, C1, C2, E3, E4 27 A1, A2, A3, A4, B1,B2, B3, B4, C3, C4, E1, E2 28 A1, A2, A3, A4, B1, B2, B3, B4, C3, C4,E3, E4 29 A1, A2, A3, A4, B1, B2, C1, C2, C3, C4, E1, E2 30 A1, A2, A3,A4, B1, B2, C1, C2, C3, C4, E3, E4 31 A1, A2, A3, A4, B3, B4, C1, C2,C3, C4, E1, E2 32 A1, A2, A3, A4, B3, B4, C1, C2, C3, C4, E3, E4 33 A1,A2, A3, A4, B1, B2, C1, C2, E1, E2, E3, E4 34 A1, A2, A3, A4, B1, B2,C3, C4, E1, E2, E3, E4 35 A1, A2, A3, A4, B3, B4, C1, C2, E1, E2, E3, E436 A1, A2, A3, A4, B3, B4, C3, C4, E1, E2, E3, E4 37 A1, A2, B1, B2, B3,B4, C1, C2, C3, C4, E1, E2 38 A1, A2, B1, B2, B3, B4, C1, C2, C3, C4,E3, E4 39 A3, A4, B1, B2, B3, B4, C1, C2, C3, C4, E1, E2 40 A3, A4, B1,B2, B3, B4, C1, C2, C3, C4, E3, E4 41 A1, A2, B1, B2, B3, B4, C1, C2,E1, E2, E3, E4 42 A1, A2, B1, B2, B3, B4, C3, C4, E1, E2, E3, E4 43 A3,A4, B1, B2, B3, B4, C1, C2, E1, E2, E3, E4 44 A3, A4, B1, B2, B3, B4,C3, C4, E1, E2, E3, E4 45 A1, A2, B1, B2, C1, C2, C3, C4, E1, E2, E3, E446 A1, A2, B3, B4, C1, C2, C3, C4, E1, E2, E3, E4 47 A3, A4, B1, B2, C1,C2, C3, C4, E1, E2, E3, E4 48 A3, A4, B3, B4, C1, C2, C3, C4, E1, E2,E3, E4 49 A1, A2, A3, A4, B1, B2, B3, B4, C1, C2, F1, F2 50 A1, A2, A3,A4, B1, B2, B3, B4, C1, C2, F3, F4 51 A1, A2, A3, A4, B1, B2, B3, B4,C3, C4, F1, F2 52 A1, A2, A3, A4, B1, B2, B3, B4, C3, C4, F3, F4 53 A1,A2, A3, A4, B1, B2, C1, C2, C3, C4, F1, F2 54 A1, A2, A3, A4, B1, B2,C1, C2, C3, C4, F3, F4 55 A1, A2, A3, A4, B3, B4, C1, C2, C3, C4, F1, F256 A1, A2, A3, A4, B3, B4, C1, C2, C3, C4, F3, F4 57 A1, A2, A3, A4, B1,B2, C1, C2, F1, F2, F3, F4 58 A1, A2, A3, A4, B1, B2, C3, C4, F1, F2,F3, F4 59 A1, A2, A3, A4, B3, B4, C1, C2, F1, F2, F3, F4 60 A1, A2, A3,A4, B3, B4, C3, C4, F1, F2, F3, F4 61 A1, A2, B1, B2, B3, B4, C1, C2,C3, C4, F1, F2 62 A1, A2, B1, B2, B3, B4, C1, C2, C3, C4, F3, F4 63 A3,A4, B1, B2, B3, B4, C1, C2, C3, C4, F1, F2 64 A3, A4, B1, B2, B3, B4,C1, C2, C3, C4, F3, F4 65 A1, A2, B1, B2, B3, B4, C1, C2, F1, F2, F3, F466 A1, A2, B1, B2, B3, B4, C3, C4, F1, F2, F3, F4 67 A3, A4, B1, B2, B3,B4, C1, C2, F1, F2, F3, F4 68 A3, A4, B1, B2, B3, B4, C3, C4, F1, F2,F3, F4 69 A1, A2, B1, B2, C1, C2, C3, C4, F1, F2, F3, F4 70 A1, A2, B3,B4, C1, C2, C3, C4, F1, F2, F3, F4 71 A3, A4, B1, B2, C1, C2, C3, C4,F1, F2, F3, F4 72 A3, A4, B3, B4, C1, C2, C3, C4, F1, F2, F3, F4 73 A1,A2, A3, A4, C1, C2, C3, C4, D1, D2, E1, E2 74 A1, A2, A3, A4, C1, C2,C3, C4, D1, D2, E3, E4 75 A1, A2, A3, A4, C1, C2, C3, C4, D3, D4, E1, E276 A1, A2, A3, A4, C1, C2, C3, C4, D3, D4, E3, E4 77 A1, A2, A3, A4, C1,C2, D1, D2, D3, D4, E1, E2 78 A1, A2, A3, A4, C1, C2, D1, D2, D3, D4,E3, E4 79 A1, A2, A3, A4, C3, C4, D1, D2, D3, D4, E1, E2 80 A1, A2, A3,A4, C3, C4, D1, D2, D3, D4, E3, E4 81 A1, A2, A3, A4, C1, C2, D1, D2,E1, E2, E3, E4 82 A1, A2, A3, A4, C1, C2, D3, D4, E1, E2, E3, E4 83 A1,A2, A3, A4, C3, C4, D1, D2, E1, E2, E3, E4 84 A1, A2, A3, A4, C3, C4,D3, D4, E1, E2, E3, E4 85 A1, A2, C1, C2, C3, C4, D1, D2, D3, D4, E1, E286 A1, A2, C1, C2, C3, C4, D1, D2, D3, D4, E3, E4 87 A3, A4, C1, C2, C3,C4, D1, D2, D3, D4, E1, E2 88 A3, A4, C1, C2, C3, C4, D1, D2, D3, D4,E3, E4 89 A1, A2, C1, C2, C3, C4, D1, D2, E1, E2, E3, E4 90 A1, A2, C1,C2, C3, C4, D3, D4, E1, E2, E3, E4 91 A3, A4, C1, C2, C3, C4, D1, D2,E1, E2, E3, E4 92 A3, A4, C1, C2, C3, C4, D3, D4, E1, E2, E3, E4 93 A1,A2, C1, C2, D1, D2, D3, D4, E1, E2, E3, E4 94 A1, A2, C3, C4, D1, D2,D3, D4, E1, E2, E3, E4 95 A3, A4, C1, C2, D1, D2, D3, D4, E1, E2, E3, E496 A3, A4, C3, C4, D1, D2, D3, D4, E1, E2, E3, E4 97 A1, A2, A3, A4, C1,C2, C3, C4, D1, D2, F1, F2 98 A1, A2, A3, A4, C1, C2, C3, C4, D1, D2,F3, F4 99 A1, A2, A3, A4, C1, C2, C3, C4, D3, D4, F1, F2 100 A1, A2, A3,A4, C1, C2, C3, C4, D3, D4, F3, F4 101 A1, A2, A3, A4, C1, C2, D1, D2,D3, D4, F1, F2 102 A1, A2, A3, A4, C1, C2, D1, D2, D3, D4, F3, F4 103A1, A2, A3, A4, C3, C4, D1, D2, D3, D4, F1, F2 104 A1, A2, A3, A4, C3,C4, D1, D2, D3, D4, F3, F4 105 A1, A2, A3, A4, C1, C2, D1, D2, F1, F2,F3, F4 106 A1, A2, A3, A4, C1, C2, D3, D4, F1, F2, F3, F4 107 A1, A2,A3, A4, C1, C2, D3, D4, F1, F2, F3, F4 108 A1, A2, A3, A4, C3, C4, D3,D4, F1, F2, F3, F4 109 A1, A2, C1, C2, C3, C4, D1, D2, D3, D4, F1, F2110 A1, A2, C1, C2, C3, C4, D1, D2, D3, D4, F3, F4 111 A3, A4, C1, C2,C3, C4, D1, D2, D3, D4, F1, F2 112 A3, A4, C1, C2, C3, C4, D1, D2, D3,D4, F3, F4 113 A1, A2, C1, C2, C3, C4, D1, D2, F1, F2, F3, F4 114 A1,A2, C1, C2, C3, C4, D3, D4, F1, F2, F3, F4 115 A3, A4, C1, C2, C3, C4,D1, D2, F1, F2, F3, F4 116 A3, A4, C1, C2, C3, C4, D3, D4, F1, F2, F3,F4 117 A1, A2, C1, C2, D1, D2, D3, D4, F1, F2, F3, F4 118 A1, A2, C3,C4, D1, D2, D3, D4, F1, F2, F3, F4 119 A3, A4, C1, C2, D1, D2, D3, D4,F1, F2, F3, F4 120 A3, A4, C3, C4, D1, D2, D3, D4, F1, F2, F3, F4 121A1, A2, A3, A4, C1, C2, C3, C4, E1, E2, F1, F2 122 A1, A2, A3, A4, C1,C2, C3, C4, E1, E2, F3, F4 123 A1, A2, A3, A4, C1, C2, C3, C4, E3, E4,F1, F2 124 A1, A2, A3, A4, C1, C2, C3, C4, E3, E4, F3, F4 125 A1, A2,A3, A4, C1, C2, E1, E2, E3, E4, F1, F2 126 A1, A2, A3, A4, C1, C2, E1,E2, E3, E4, F3, F4 127 A1, A2, A3, A4, C3, C4, E1, E2, E3, E4, F1, F2128 A1, A2, A3, A4, C3, C4, E1, E2, E3, E4, F3, F4 129 A1, A2, A3, A4,C1, C2, E1, E2, F1, F2, F3, F4 130 A1, A2, A3, A4, C1, C2, E3, E4, F1,F2, F3, F4 131 A1, A2, A3, A4, C3, C4, E1, E2, F1, F2, F3, F4 132 A1,A2, A3, A4, C3, C4, E3, E4, F1, F2, F3, F4 133 A1, A2, C1, C2, C3, C4,E1, E2, E3, E4, F1, F2 134 A1, A2, C1, C2, C3, C4, E1, E2, E3, E4, F3,F4 135 A3, A4, C1, C2, C3, C4, E1, E2, E3, E4, F1, F2 136 A3, A4, C1,C2, C3, C4, E1, E2, E3, E4, F3, F4 137 A1, A2, C1, C2, C3, C4, E1, E2,F1, F2, F3, F4 138 A1, A2, C1, C2, C3, C4, E3, E4, F1, F2, F3, F4 139A3, A4, C1, C2, C3, C4, E1, E2, F1, F2, F3, F4 140 A3, A4, C1, C2, C3,C4, E3, E4, F1, F2, F3, F4 141 A1, A2, C1, C2, E1, E2, E3, E4, F1, F2,F3, F4 142 A1, A2, C3, C4, E1, E2, E3, E4, F1, F2, F3, F4 143 A3, A4,C1, C2, E1, E2, E3, E4, F1, F2, F3, F4 144 A3, A4, C3, C4, E1, E2, E3,E4, F1, F2, F3, F4 145 A1, A2, A3, A4, D1, D2, D3, D4, E1, E2, F1, F2146 A1, A2, A3, A4, D1, D2, D3, D4, E1, E2, F3, F4 147 A1, A2, A3, A4,D1, D2, D3, D4, E3, E4, F1, F2 148 A1, A2, A3, A4, D1, D2, D3, D4, E3,E4, F3, F4 149 A1, A2, A3, A4, D1, D2, E1, E2, E3, E4, F1, F2 150 A1,A2, A3, A4, D1, D2, E1, E2, E3, E4, F3, F4 151 A1, A2, A3, A4, D3, D4,E1, E2, E3, E4, F1, F2 152 A1, A2, A3, A4, D3, D4, E1, E2, E3, E4, F3,F4 153 A1, A2, A3, A4, D1, D2, E1, E2, F1, F2, F3, F4 154 A1, A2, A3,A4, D1, D2, E3, E4, F1, F2, F3, F4 155 A1, A2, A3, A4, D3, D4, E1, E2,F1, F2, F3, F4 156 A1, A2, A3, A4, D3, D4, E3, E4, F1, F2, F3, F4 157A1, A2, D1, D2, D3, D4, E1, E2, E3, E4, F1, F2 158 A1, A2, D1, D2, D3,D4, E1, E2, E3, E4, F3, F4 159 A3, A4, D1, D2, D3, D4, E1, E2, E3, E4,F1, F2 160 A3, A4, D1, D2, D3, D4, E1, E2, E3, E4, F3, F4 161 A1, A2,D1, D2, D3, D4, E1, E2, F1, F2, F3, F4 162 A1, A2, D1, D2, D3, D4, E3,E4, F1, F2, F3, F4 163 A3, A4, D1, D2, D3, D4, E1, E2, F1, F2, F3, F4,164 A3, A4, D1, D2, D3, D4, E3, E4, F1, F2, F3, F4 165 A1, A2, D1, D2,E1, E2, E3, E4, F1, F2, F3, F4 166 A1, A2, D3, D4, E1, E2, E3, E4, F1,F2, F3, F4 167 A3, A4, D1, D2, E1, E2, E3, E4, F1, F2, F3, F4 168 A3,A4, D3, D4, E1, E2, E3, E4, F1, F2, F3, F4 169 B1, B2, B3, B4, C1, C2,C3, C4, D1, D2, E1, E2 170 B1, B2, B3, B4, C1, C2, C3, C4, D1, D2, E3,E4 171 B1, B2, B3, B4, C1, C2, C3, C4, D3, D4, E1, E2 172 B1, B2, B3,B4, C1, C2, C3, C4, D3, D4, E3, E4 173 B1, B2, B3, B4, C1, C2, D1, D2,D3, D4, E1, E2 174 B1, B2, B3, B4, C1, C2, D1, D2, D3, D4, E3, E4 175B1, B2, B3, B4, C3, C4, D1, D2, D3, D4, E1, E2 176 B1, B2, B3, B4, C3,C4, D1, D2, D3, D4, E3, E4 177 B1, B2, B3, B4, C1, C2, D1, D2, E1, E2,E3, E4 178 B1, B2, B3, B4, C1, C2, D3, D4, E1, E2, E3, E4 179 B1, B2,B3, B4, C3, C4, D1, D2, E1, E2, E3, E4 180 B1, B2, B3, B4, C3, C4, D3,D4, E1, E2, E3, E4 181 B1, B2, C1, C2, C3, C4, D1, D2, D3, D4, E1, E2182 B1, B2, C1, C2, C3, C4, D1, D2, D3, D4, E3, E4 183 B3, B4, C1, C2,C3, C4, D1, D2, D3, D4, E1, E2 184 B3, B4, C1, C2, C3, C4, D1, D2, D3,D4, E3, E4 185 B1, B2, C1, C2, C3, C4, D1, D2, E1, E2, E3, E4 186 B1,B2, C1, C2, C3, C4, D3, D4, E1, E2, E3, E4 187 B3, B4, C1, C2, C3, C4,D1, D2, E1, E2, E3, E4 188 B3, B4, C1, C2, C3, C4, D3, D4, E1, E2, E3,E4 189 B1, B2, C1, C2, D1, D2, D3, D4, E1, E2, E3, E4 190 B1, B2, C3,C4, D1, D2, D3, D4, E1, E2, E3, E4 191 B3, B4, C1, C2, D1, D2, D3, D4,E1, E2, E3, E4 192 B3, B4, C3, C4, D1, D2, D3, D4, E1, E2, E3, E4 193B1, B2, B3, B4, C1, C2, C3, C4, D1, D2, F1, F2 194 B1, B2, B3, B4, C1,C2, C3, C4, D1, D2, F3, F4 195 B1, B2, B3, B4, C1, C2, C3, C4, D3, D4,F1, F2 196 B1, B2, B3, B4, C1, C2, C3, C4, D3, D4, F3, F4 197 B1, B2,B3, B4, C1, C2, D1, D2, D3, D4, F1, F2 198 B1, B2, B3, B4, C1, C2, D1,D2, D3, D4, F3, F4 199 B1, B2, B3, B4, C3, C4, D1, D2, D3, D4, F1, F2200 B1, B2, B3, B4, C3, C4, D1, D2, D3, D4, F3, F4 201 B1, B2, B3, B4,C1, C2, D1, D2, F1, F2, F3, F4 202 B1, B2, B3, B4, C1, C2, D3, D4, F1,F2, F3, F4 203 B1, B2, B3, B4, C3, C4, D1, D2, F1, F2, F3, F4 204 B1,B2, B3, B4, C3, C4, D3, D4, F1, F2, F3, F4 205 B1, B2, C1, C2, C3, C4,D1, D2, D3, D4, F1, F2 206 B1, B2, C1, C2, C3, C4, D1, D2, D3, D4, F3,F4 207 B3, B4, C1, C2, C3, C4, D1, D2, D3, D4, F1, F2 208 B3, B4, C1,C2, C3, C4, D1, D2, D3, D4, F3, F4 209 B1, B2, C1, C2, C3, C4, D1, D2,F1, F2, F3, F4, 210 B1, B2, C1, C2, C3, C4, D3, D4, F1, F2, F3, F4, 211B3, B4, C1, C2, C3, C4, D1, D2, F1, F2, F3, F4, 212 B3, B4, C1, C2, C3,C4, D3, D4, F1, F2, F3, F4 213 B1, B2, C1, C2, D1, D2, D3, D4, F1, F2,F3, F4, 214 B1, B2, C3, C4, D1, D2, D3, D4, F1, F2, F3, F4 215 B3, B4,C1, C2, D1, D2, D3, D4, F1, F2, F3, F4, 216 B3, B4, C3, C4, D1, D2, D3,D4, F1, F2, F3, F4 217 B1, B2, B3, B4, C1, C2, C3, C4, E1, E2, F1, F2218 B1, B2, B3, B4, C1, C2, C3, C4, E1, E2, F3, F4 219 B1, B2, B3, B4,C1, C2, C3, C4, E3, E4, F1, F2 220 B1, B2, B3, B4, C1, C2, C3, C4, E3,E4, F3, F4 221 B1, B2, B3, B4, C1, C2, E1, E2, E3, E4, F1, F2 222 B1,B2, B3, B4, C1, C2, E1, E2, E3, E4, F3, F4 223 B1, B2, B3, B4, C3, C4,E1, E2, E3, E4, F1, F2 224 B1, B2, B3, B4, C3, C4, E1, E2, E3, E4, F3,F4 225 B1, B2, B3, B4, C1, C2, E1, E2, F1, F2, F3, F4 226 B1, B2, B3,B4, C1, C2, E3, E4, F1, F2, F3, F4 227 B1, B2, B3, B4, C3, C4, E1, E2,F1, F2, F3, F4, 228 B1, B2, B3, B4, C3, C4, E3, E4, F1, F2, F3, F4 229B1, B2, C1, C2, C3, C4, E1, E2, E3, E4, F1, F2 230 B1, B2, C1, C2, C3,C4, E1, E2, E3, E4, F3, F4 231 B3, B4, C1, C2, C3, C4, E1, E2, E3, E4,F1, F2 232 B3, B4, C1, C2, C3, C4, E1, E2, E3, E4, F3, F4 233 B1, B2,C1, C2, C3, C4, E1, E2, F1, F2, F3, F4 234 B1, B2, C1, C2, C3, C4, E3,E4, F1, F2, F3, F4 235 B3, B4, C1, C2, C3, C4, E1, E2, F1, F2, F3, F4,236 B3, B4, C1, C2, C3, C4, E3, E4, F1, F2, F3, F4 237 B1, B2, C1, C2,E1, E2, E3, E4, F1, F2, F3, F4 238 B1, B2, C3, C4, E1, E2, E3, E4, F1,F2, F3, F4 239 B3, B4, C1, C2, E1, E2, E3, E4, F1, F2, F3, F4 240 B3,B4, C3, C4, E1, E2, E3, E4, F1, F2, F3, F4 241 B1, B2, B3, B4, D1, D2,D3, D4, E1, E2, F1, F2 242 B1, B2, B3, B4, D1, D2, D3, D4, E1, E2, F3,F4 243 B1, B2, B3, B4, D1, D2, D3, D4, E3, E4, F1, F2 244 B1, B2, B3,B4, D1, D2, D3, D4, E3, E4, F3, F4 245 B1, B2, B3, B4, D1, D2, E1, E2,E3, E4, F1, F2 246 B1, B2, B3, B4, D1, D2, E1, E2, E3, E4, F3, F4 247B1, B2, B3, B4, D3, D4, E1, E2, E3, E4, F1, F2 248 B1, B2, B3, B4, D3,D4, E1, E2, E3, E4, F3, F4 249 B1, B2, B3, B4, D1, D2, E1, E2, F1, F2,F3, F4 250 B1, B2, B3, B4, D1, D2, E3, E4, F1, F2, F3, F4 251 B1, B2,B3, B4, D3, D4, E1, E2, F1, F2, F3, F4 252 B1, B2, B3, B4, D3, D4, E3,E4, F1, F2, F3, F4 253 B1, B2, D1, D2, D3, D4, E1, E2, E3, E4, F1, F2254 B1, B2, D1, D2, D3, D4, E1, E2, E3, E4, F3, F4 255 B3, B4, D1, D2,D3, D4, E1, E2, E3, E4, F1, F2 256 B3, B4, D1, D2, D3, D4, E1, E2, E3,E4, F3, F4 257 B1, B2, D1, D2, D3, D4, E1, E2, F1, F2, F3, F4, 258 B1,B2, D1, D2, D3, D4, E3, E4, F1, F2, F3, F4 259 B3, B4, D1, D2, D3, D4,E1, E2, F1, F2, F3, F4 260 B3, B4, D1, D2, D3, D4, E3, E4, R1, R2, R3,R4 261 B1, B2, D1, D2, E1, E2, E3, E4, F1, F2, F3, F4 262 B1, B2, D3,D4, E1, E2, E3, E4, F1, F2, F3, F4 263 B3, B4, D1, D2, E1, E2, E3, E4,F1, F2, F3, F4 264 B3, B4, D3, D4, E1, E2, E3, E4, F1, F2, F3, F4 265C1, C2, C3, C4, D1, D2, D3, D4, E1, E2, F1, F2 266 C1, C2, C3, C4, D1,D2, D3, D4, E1, E2, F3, F4 267 C1, C2, C3, C4, D1, D2, D3, D4, E3, E4,F1, F2 268 C1, C2, C3, C4, D1, D2, D3, D4, E3, E4, F3, F4 269 C1, C2,C3, C4, D1, D2, E1, E2, E3, E4, F1, F2 270 C1, C2, C3, C4, D1, D2, E1,E2, E3, E4, F3, F4 271 C1, C2, C3, C4, D3, D4, E1, E2, E3, E4, F1, F2272 C1, C2, C3, C4, D3, D4, E1, E2, E3, E4, F3, F4 273 C1, C2, C3, C4,D1, D2, E1, E2, F1, F2, F3, F4 274 C1, C2, C3, C4, D1, D2, E3, E4, F1,F2, F3, F4 275 C1, C2, C3, C4, D3, D4, E1, E2, F1, F2, F3, F4 276 C1,C2, C3, C4, D3, D4, E3, E4, F1, F2, F3, F4 277 C1, C2, D1, D2, D3, D4,E1, E2, E3, E4, F1, F2 278 C1, C2, D1, D2, D3, D4, E1, E2, E3, E4, F3,F4 279 C3, C4, D1, D2, D3, D4, E1, E2, E3, E4, F1, F2 280 C3, C4, D1,D2, D3, D4, E1, E2, E3, E4, F3, F4 281 C1, C2, D1, D2, D3, D4, E1, E2,F1, F2, F3, F4 282 C1, C2, D1, D2, D3, D4, E3, E4, F1, F2, F3, F4 283C3, C4, D1, D2, D3, D4, E1, E2, F1, F2, F3, F4 284 C3, C4, D1, D2, D3,D4, E3, E4, F1, F2, F3, F4 285 C1, C2, D1, D2, E1, E2, E3, E4, F1, F2,F3, F4 286 C1, C2, D3, D4, E1, E2, E3, E4, F1, F2, F3, F4 287 C3, C4,D1, D2, E1, E2, E3, E4, F1, F2, F3, F4 288 C3, C4, D3, D4, E1, E2, E3,E4, F1, F2, F3, F4 289 A1, A2, A3, A4, B1, B2, B3, B4, D1, D2, E1, E2290 A1, A2, A3, Q4, B1, B2, B3, B4, D1, D2, E3, E4 291 A1, A2, A3, A4,B1, B2, B3, B4, D3, D4, E1, E2 292 A1, A2, A3, A4, B1, B2, B3, B4, D3,D4, E3, E4 293 A1, A2, A3, A4, B1, B2, D1, D2, D3, D4, E1, E2 294 A1,A2, A3, A4, B1, B2, D1, D2, D3, D4, E3, E4 295 A1, A2, A3, A4, B3, B4,D1, D2, D3, D4, E1, E2 296 A1, A2, A3, A4, B3, B4, D1, D2, D3, D4, E3,E4 297 A1, A2, A3, A4, B1, B2, D1, D2, E1, E2, E3, E4 298 A1, A2, A3,A4, B1, B2, D3, D4, E1, E2, E3, E4 299 A1, A2, A3, A4, B3, B4, D1, D2,E1, E2, E3, E4 300 A1, A2, A3, A4, B3, B4, D3, D4, E1, E2, E3, E4 301A1, A2, B1, B2, B3, B4, D1, D2, D3, D4, E1, E2 302 A1, A2, B1, B2, B3,B4, D1, D2, D3, D4, E3, E4 303 A3, A4, B1, B2, B3, B4, D1, D2, D3, D4,E1, E2 304 A3, A4, B1, B2, B3, B4, D1, D2, D3, D4, E3, E4 305 A1, A2,B1, B2, B3, B4, D1, D2, E1, E2, E3, E4 306 A1, A2, B1, B2, B3, B4, D3,D4, E1, E2, E3, E4 307 A3, A4, B1, B1, B2, B4, D1, D2, E1, E2, E3, E4308 A3, A4, B1, B2, B3, B4, D3, D4, E1, E2, E3, E4 309 A1, A2, B1, B2,D1, D2, D3, D4, E1, E2, E3, E4 310 A1, A2, B3, B4, D1, D2, D3, D4, E1,E2, E3, E4 311 A3, A4, B1, B2, D1, D2, D3, D4, E1, E2, E3, E4 312 A3,A4, B3, B4, D1, D2, D3, D4, E1, E2, E3, E4 313 A1, A2, A3, A4, B1, B2,B3, B4, D1, D2, F1, F2 314 A1, A2, A3, A4, B1, B2, B3, B4, D1, D2, F3,F4 315 A1, A2, A3, A4, B1, B2, B3, B4, D3, D4, F1, F2 316 A1, A2, A3,A4, B1, B2, B3, B4, D3, D4, F3, F4 317 A1, A2, A3, A4, B1, B2, D1, D2,D3, D4, F1, F2 318 A1, A2, A3, A4, B1, B2, D1, D2, D3, D4, F3, F4 319A1, A2, A3, A4, B3, B4, D1, D2, D3, D4, F1, F2 320 A1, A2, A3, A4, B3,B4, D1, D2, D3, D4, F3, F4 321 A1, A2, A3, A4, B1, B2, D1, D2, F1, F2,F3, F4 322 A1, A2, A3, A4, B1, B2, D3, D4, F1, F2, F3, F4 323 A1, A2,A3, A4, B3, B4, D1, D2, F1, F2, F3, F4 324 A1, A2, A3, A4, B3, B4, D3,D4, F1, F2, F3, F4 325 A1, A2, B1, B2, B3, B4, D1, D2, D3, D4, F1, F2326 A1, A2, B1, B2, B3, B4, D1, D2, D3, D4, F3, F4 327 A3, A4, B1, B2,B3, B4, D1, D2, D3, D4, F1, F2 328 A3, A4, B1, B2, B3, B4, D1, D2, D3,D4, F3, F4 329 A1, A2, B1, B2, B3, B4, D1, D2, F1, F2, F3, F4 330 A1,A2, B1, B2, B3, B4, D3, D4, F1, F2, F3, F4 331 A3, A4, B1, B2, B3, B4,D1, D2, F1, F2, F3, F4 332 A3, A4, B1, B2, B3, B4, D3, D4, F1, F2, F3,F4 333 A1, A2, B1, B2, D1, D2, D3, D4, F1, F2, F3, F4 334 A1, A2, B3,B4, D1, D2, D3, D4, F1, F2, F3, F4 335 A3, A4, B1, B2, D1, D2, D3, D4,F1, F2, F3, F4 336 A3, A4, B3, B4, D1, D2, D3, D4, F1, F2, F3, F4 337A1, A2, A3, A4, B1, B2, B3, B4, E1, E2, F1, F2 338 A1, A2, A3, A4, B1,B2, B3, B4, E1, E2, F3, F4 339 A1, A2, A3, A4, B1, B2, B3, B4, E3, E4,F1, F2 340 A1, A2, A3, A4, B1, B2, B3, B4, E3, E4, F3, F4 341 A1, A2,A3, A4, B1, B2, E1, E2, E3, E4, F1, F2 342 A1, A2, A3, A4, B1, B2, E1,E2, E3, E4, F3, F4 343 A1, A2, A3, A4, B3, B4, E1, E2, E3, E4, F1, F2344 A1, A2, A3, A4, B3, B4, E1, E2, E3, E4, F3, F4 345 A1, A2, A3, A4,B1, B2, E1, E2, F1, F2, F3, F4 346 A1, A2, A3, A4, B1, B2, E3, E4, F1,F2, F3, F4 347 A1, A2, A3, A4, B3, B4, E1, E2, F1, F2, F3, F4 348 A1,A2, A3, A4, B3, B4, E3, E4, F1, F2, F3, F4 349 A1, A2, B1, B2, B3, B4,E1, E2, E3, E4, F1, F2 350 A1, A2, B1, B2, B3, B4, E1, E2, E3, E4, F3,F4 351 A3, A4, B1, B2, B3, B4, E1, E2, E3, E4, F1, F2 352 A3, A4, B1,B2, B3, B4, E1, E2, E3, E4, F3, F4 353 A1, A2, B1, B2, B3, B4, E1, E2,F1, F2, F3, F4 354 A1, A2, B1, B2, B3, B4, E3, E4, F1, F2, F3, F4 355A3, A4, B1, B2, B3, B4, E1, E2, F1, F2, F3, F4 356 A3, A4, B1, B2, B3,B4, E3, E4, F1, F2, F3, F4 357 A1, A2, B1, B2, E1, E2, E3, E4, F1, F2,F3, F4 358 A1, A2, B3, B4, E1, E2, E3, E4, F1, F2, F3, F4 359 A3, A4,B1, B2, E1, E2, E3, E4, F1, F2, F3, F4 360 A3, A4, B3, B4, E1, E2, E3,E4, F1, F2, F3, F4

C. In another method of configuring a codebook set having 12 elements, 5groups are selected from the groups from the groups A, B, C, D, E, and Fof Table 33. Among the selected 5 groups, one group may be configuredwith QPSK, and the remaining four groups may be configured with BPSK.

D. In another method of configuring a codebook set having 12 elements,all of the 5 groups A, B, C, D, E, and F of Table 33 may be configuredwith BPSK.

Table 38 below shows examples of a codebook set having 12 elements whenthe all 6 groups are configured with BPSK.

TABLE 38 case codebook set case codebook set 1 A1, A2.B1, B2, C1, C2,D1, D2, E1, E2, F1, F2 2 A1, A2, B1, B2, C1, C2, D1, D2, E1, E2, F3, F43 A1, A2, B1, B2, C1, C2, D1, D2, E3, E4, F1, F2 4 A1, A2, B1, B2, C1,C2, D1, D2, E3, E4, F3, F4 5 A1, A2, B1, B2, C1, C2, D3, D4, E1, E2, F1,F2 6 A1, A2, B1, B2, C1, C2, D3, D4, E1, E2, F3, F4 7 A1, A2, B1, B2,C1, C2, D3, D4, E3, E4, F1, F2 8 A1, A2, B1, B2, C1, C2, D3, D4, E3, E4,F3, F4 9 A1, A2, B1, B2, C3, C4, D1, D2, E1, E2, F1, F2 10 A1, A2, B1,B2, C3, C4, D1, D2, E1, E2, F3, F4 11 A1, A2, B1, B2, C3, C4, D1, D2,E3, E4, F1, F2 12 A1, A2, B1, B2, C3, C4, D1, D2, E3, E4, F3, F4 13 A1,A2, B1, B2, C3, C4, D3, D4, E1, E2, F1, F2 14 A1, A2, B1, B2, C3, C4,D3, D4, E1, E2, F3, F4 15 A1, A2, B1, B2, C3, C4, D3, D4, E3, E4, F1, F216 A1, A2, B1, B2, C3, C4, D3, D4, E3, E4, F3, F4 17 A1, A2, B3, B4, C1,C2, D1, D2, E1, E2, F1, F2 18 A1, A2, B3, B4, C1, C2, D1, D2, E1, E2,F3, F4 19 A1, A2, B3, B4, C1, C2, D1, D2, E3, E4, F1, F2 20 A1, A2, B3,B4, C1, C2, D1, D2, E3, E4, F3, F4 21 A1, A2, B3, B4, C1, C2, D3, D4,E1, E2, F1, F2 22 A1, A2, B3, B4, C1, C2, D3, D4, E1, E2, F3, F4 23 A1,A2, B3, B4, C1, C2, D3, D4, E3, E4, F1, F2 24 A1, A2, B3, B4, C1, C2,D3, D4, E3, E4, F3, F4 25 A1, A2, B3, B4, C3, C4, D1, D2, E1, E2, F1, F226 A1, A2, B3, B4, C3, C4, D1, D2, E1, E2, F3, F4 27 A1, A2, B3, B4, C3,C4, D1, D2, E3, E4, F1, F2 28 A1, A2, B3, B4, C3, C4, D1, D2, E3, E4,F3, F4 29 A1, A2, B3, B4, C3, C4, D3, D4, E1, E2, F1, F2 30 A1, A2, B3,B4, C3, C4, D3, D4, E1, E2, F3, F4 31 A1, A2, B3, B4, C3, C4, D3, D4,E3, E4, F1, F2 32 A1, A2, B3, B4, C3, C4, D3, D4, E3, E4, F3, F4 33 A3,A4, B1, B2, C1, C2, D1, D2, E1, E2, F1, F2 34 A3, A4, B1, B2, C1, C2,D1, D2, E1, E2, F3, F4 35 A3, A4, B1, B2, C1, C2, D1, D2, E3, E4, F1, F236 A3, A4, B1, B2, C1, C2, D1, D2, E3, E4, F3, F4 37 A3, A4, B1, B2, C1,C2, D3, D4, E1, E2, F1, F2 38 A3, A4, B1, B2, C1, C2, D3, D4, E1, E2,F3, F4 39 A3, A4, B1, B2, C1, C2, D3, D4, E3, E4, F1, F2 40 A3, A4, B1,B2, C1, C2, D3, D4, E3, E4, F3, F4 41 A3, A4, B1, B2, C3, C4, D1, D2,E1, E2, F1, F2 42 A3, A4, B1, B2, C3, C4, D1, D2, E1, E2, F3, F4 43 A3,A4, B1, B2, C3, C4, D1, D2, E3, E4, F1, F2 44 A3, A4, B1, B2, C3, C4,D1, D2, E3, E4, F3, F4 45 A3, A4, B1, B2, C3, C4, D3, D4, E1, E2, F1, F246 A3, A4, B1, B2, C3, C4, D3, D4, E1, E2, F3, F4 47 A3, A4, B1, B2, C3,C4, D3, D4, E3, E4, F1, F2 48 A3, A4, B1, B2, C3, C4, D3, D4, E3, E4,F3, F4 49 A3, A4, B3, B4, C1, C2, D1, D2, E1, E2, F1, F2 50 A3, A4, B3,B4, C1, C2, D1, D2, E1, E2, F3, F4 51 A3, A4, B3, B4, C1, C2, D1, D2,E3, E4, F1, F2 52 A3, A4, B3, B4, C1, C2, D1, D2, E3, E4, F3, F4 53 A3,A4, B3, B4, C1, C2, D3, D4, E1, E2, F1, F2 54 A3, A4, B3, B4, C1, C2,D3, D4, E1, E2, F3, F4 55 A3, A4, B3, B4, C1, C2, D3, D4, E3, E4, F1, F256 A3, A4, B3, B4, C1, C2, D3, D4, E3, E4, F3, F4 57 A3, A4, B3, B4, C3,C4, D1, D2, E1, E2, F1, F2 58 A3, A4, B3, B4, C3, C4, D1, D2, E1, E2,F3, F4 59 A3, A4, B3, B4, C3, C4, D1, D2, E3, E4, F1, F2 60 A3, A4, B3,B4, C3, C4, D1, D2, E3, E4, F3, F4 61 A3, A4, B3, B4, C3, C4, D3, D4,E1, E2, F1, F2 62 A3, A4, B3, B4, C3, C4, D3, D4, E1, E2, F3, F4 63 A3,A4, B3, B4, C3, C4, D3, D4, E3, E4, F1, F2 64 A3, A4, B3, B4, C3, C4,D3, D4, E3, E4, F3, F4

(3) Now, a method of configuring a codebook set having 16 elements willbe described.

A. In the method of configuring the codebook set having 16 elements,four groups are selected from the groups A, B, C, D, E, and F of Table33. Each of the selected groups may be configured with QPSK.

Table 39 below shows examples of a codebook set having 16 elements byselecting four groups.

TABLE 39 case codebook set case codebook set 1 A1, A2, A3, A4, B1, B2,B3, B4, C1, C2, C3, C4, D1, 2 A1, A2, A3, A4, B1, B2, B3, B4, C1, C2,C3, C4, E1, D2, D3, D4 E2, E3, E4 3 A1, A2, A3, A4, B1, B2, B3, B4, D1,D2, D3, D4, F1, 4 A1, A2, A3, A4, B1, B2, B3, B4, D1, D2, D3, D4, E1,F2, F3, F4 E2, E3, E4 5 A1, A2, A3, A4, B1, B2, B3, B4, D1, D2, D3, D4,F1, 6 A1, A2, A3, A4, B1, B2, B3, B4, E1, E2, E3, E4, F1, F2, F3, F4 F2,F3, F4 7 A1, A2, A3, A4, C1, C2, C3, C4, D1, D2, D3, D4, 8 A1, A2, A3,A4, C1, C2, C3, C4, D1, D2, D3, D4, F1, E1, E2, E3, E4 F2, F3, F4 9 A1,A2, A3, A4, C1, C2, C3, C4, E1, E2, E3, E4, F1, 10 A1, A2, A3, A4, D1,D2, D3, D4, E1, E2, E3, E4, F1, F2, F3, F4 F2, F3, F4 11 B1, B2, B3, B4,C1, C2, C3, C4, D1, D2, D3, D4, 12 B1, B2, B3, B4, C1, C2, C3, C4, D1,D2, D3, D4, F1, E1, E2, E3, E4 F2, F3, F4 13 B1, B2, B3, B4, C1, C2, C3,C4, E1, E2, E3, E4, F1, 14 B1, B2, B3, B4, D1, D2, D3, D4, E1, E2, E3,E4, F1, F2, F3, F4 F2, F3, F4 15 C1, C2, C3, C4, D1, D2, D3, D4, E1, E2,E3, E4, F1, F2, F3, F4

B. In another method of configuring a codebook set having 16 element, 5groups are selected from the groups A, B, C, D, E, and F of Table 33.Among the selected 5 groups, three groups may be configured with QPSK,and the remaining two groups may be configured with BPSK.

Table 40 below shows examples of a codebook set configured in thismethod.

TABLE 40 case codebook set case codebook set 1 A1, A2, A3, A4, B1, B2,B3, B4, C1, C2, C3, C4, D1, 2 A1, A2, A3, A4, B1, B2, B3, B4, C1, C2,C3, C4, D1, D2, E1, E2 D2, E3, E4 3 A1, A2, A3, A4, B1, B2, B3, B4, C1,C2, C3, C4, D3, 4 A1, A2, A3, A4, B1, B2, B3, B4, C1, C2, C3, C4, D3,D4, E1, E2 D4, E3, E4 5 A1, A2, A3, A4, B1, B2, B3, B4, C1, C2, D1, D2,D3, 6 A1, A2, A3, A4, B1, B2, B3, B4, C1, C2, D1, D2, D3, D4, E1, E2 D4,E3, E4 7 A1, A2, A3, A4, B1, B2, B3, B4, C3, C4, D1, D2, D3, 8 A1, A2,A3, A4, B1, B2, B3, B4, C3, C4, D1, D2, D3, D4, E1, E2 D4, E3, E4 9 A1,A2, A3, A4, B1, B2, C1, C2, C3, C4, D1, D2, D3, 10 A1, A2, A3, A4, B1,B2, C1, C2, C3, C4, D1, D2, D3, D4, E1, E2 D4, E3, E4 11 A1, A2, A3, A4,B3, B4, C1, C2, C3, C4, D1, D2, D3, 12 A1, A2, A3, A4, B3, B4, C1, C2,C3, C4, D1, D2, D3, D4, E1, E2 D4, E3, E4 13 A1, A2, B1, B2, B3, B4, C1,C2, C3, C4, D1, D2, D3, 14 A1, A2, B1, B2, B3, B4, C1, C2, C3, C4, D1,D2, D3, D4, E1, E2 D4, E3, E4 15 A3, A4, B1, B2, B3, B4, C1, C2, C3, C4,D1, D2, D3, 16 A3, A4, B1, B2, B3, B4, C1, C2, C3, C4, D1, D2, D3, D4,E1, E2 D4, E3, E4 17 A1, A2, A3, A4, B1, B2, B3, B4, C1, C2, D1, D2, E1,18 A1, A2, A3, A4, B1, B2, B3, B4, C1, C2, D3, D4, E1, E2, E3, E4 E2,E3, E4 19 A1, A2, A3, A4, B1, B2, B3, B4, C3, C4, D1, D2, E1, 20 A1, A2,A3, A4, B1, B2, B3, B4, C3, C4, D3, D4, E1, E2, E3, E4 E2, E3, E4 21 A1,A2, A3, A4, B1, B2, C1, C2, C3, C4, D1, D2, E1, 22 A1, A2, A3, A4, B1,B2, C1, C2, C3, C4, D3, D4, E1, E2, E3, E4 E2, E3, E4 23 A1, A2, A3, A4,B3, B4, C1, C2, C3, C4, D1, D2, E1, 24 A1, A2, A3, A4, B3, B4, C1, C2,C3, C4, D3, D4, E1, E2, E3, E4 E2, E3, E4 25 A1, A2, B1, B2, B3, B4, C1,C2, C3, C4, D1, D2, E1, 26 A1, A2, B1, B2, B3, B4, C1, C2, C3, C4, D3,D4, E1, E2, E3, E4 E2, E3, E4 27 A3, A4, B1, B2, B3, B4, C1, C2, C3, C4,D1, D2, E1, 28 A3, A4, B1, B2, B3, B4, C1, C2, C3, C4, D3, D4, E1, E2,E3, E4 E2, E3, E4 29 A1, A2, A3, A4, B1, B2, C1, C2, D1, D2, D3, D4, E1,30 A1, A2, A3, A4, B1, B2, C3, C4, D1, D2, D3, D4, E1, E2, E3, E4 E2,E3, E4 31 A1, A2, A3, A4, B3, B4, C1, C2, C3, C4, D1, D2, E1, 32 A1, A2,A3, A4, B3, B4, C1, C2, C3, C4, D3, D4, E1, E2, E3, E4 E2, E3, E4 33 A1,A2, B1, B2, B3, B4, C1, C2, D1, D2, D3, D4, E1, 34 A1, A2, B1, B2, B3,B4, C3, C4, D1, D2, D3, D4, E1, E2, E3, E4 E2, E3, E4 35 A3, A4, B1, B2,B3, B4, C1, C2, D1, D2, D3, D4, E1, 36 A3, A4, B1, B2, B3, B4, C3, C4,D1, D2, D3, D4, E1, E2, E3, E4 E2, E3, E4 37 A1, A2, B1, B2, C1, C2, C3,C4, D1, D2, D3, D4, 38 A1, A2, B3, B4, C1, C2, C3, C4, D1, D2, D3, D4,E1, E1, E2, E3, E4 E2, E3, E4 39 A3, A4, B1, B2, C1, C2, C3, C4, D1, D2,D3, D4, 40 A3, A4, B3, B4, C1, C2, C3, C4, D1, D2, D3, D4, E1, E1, E2,E3, E4 E2, E3, E4 41 A1, A2, A3, A4, B1, B2, B3, B4, C1, C2, C3, C4, D1,42 A1, A2, A3, A4, B1, B2, B3, B4, C1, C2, C3, C4, D1, D2, F1, F2 D2,F3, F4 43 A1, A2, A3, A4, B1, B2, B3, B4, C1, C2, C3, C4, D3, 44 A1, A2,A3, A4, B1, B2, B3, B4, C1, C2, C3, C4, D3, D4, F1, F2 D4, F3, F4 45 A1,A2, A3, A4, B1, B2, B3, B4, C1, C2, D1, D2, D3, 46 A1, A2, A3, A4, B1,B2, B3, B4, C1, C2, D1, D2, D3, D4, F1, F2 D4, F3, F4 47 A1, A2, A3, A4,B1, B2, B3, B4, C3, C4, D1, D2, D3, 48 A1, A2, A3, A4, B1, B2, B3, B4,C3, C4, D1, D2, D3, D4, F1, F2 D4, F3, F4 49 A1, A2, A3, A4, B1, B2, C1,C2, C3, C4, D1, D2, D3, 50 A1, A2, A3, A4, B1, B2, C1, C2, C3, C4, D1,D2, D3, D4, F1, F2 D4, F3, F4 51 A1, A2, A3, A4, B3, B4, C1, C2, C3, C4,D1, D2, D3, 52 A1, A2, A3, A4, B3, B4, C1, C2, C3, C4, D1, D2, D3, D4,F1, F2 D4, F3, F4 53 A1, A2, B1, B2, B3, B4, C1, C2, C3, C4, D1, D2, D3,54 A1, A2, B1, B2, B3, B4, C1, C2, C3, C4, D1, D2, D3, D4, F1, F2 D4,F3, F4 55 A3, A4, B1, B2, B3, B4, C1, C2, C3, C4, D1, D2, D3, 56 A3, A4,B1, B2, B3, B4, C1, C2, C3, C4, D1, D2, D3, D4, F1, F2 D4, F3, F4 57 A1,A2, A3, A4, B1, B2, B3, B4, C1, C2, D1, D2, F1, 58 A1, A2, A3, A4, B1,B2, B3, B4, C1, C2, D3, D4, F1, F2, F3, F4 F2, F3, F4 59 A1, A2, A3, A4,B1, B2, B3, B4, C3, C4, D1, D2, F1, 60 A1, A2, A3, A4, B1, B2, B3, B4,C3, C4, D3, D4, F1, F2, F3, F4 F2, F3, F4 61 A1, A2, A3, A4, B1, B2, C1,C2, C3, C4, D1, D2, F1, 62 A1, A2, A3, A4, B1, B2, C1, C2, C3, C4, D3,D4, F1, F2, F3, F4 F2, F3, F4 63 A1, A2, A3, A4, B3, B4, C1, C2, C3, C4,D1, D2, F1, 64 A1, A2, A3, A4, B3, B4, C1, C2, C3, C4, D3, D4, F1, F2,F3, F4 F2, F3, F4 65 A1, A2, B1, B2, B3, B4, C1, C2, C3, C4, D1, D2, F1,66 A1, A2, B1, B2, B3, B4, C1, C2, C3, C4, D3, D4, F1, F2, F3, F4, F2,F3, F4 67 A3, A4, B1, B2, B3, B4, C1, C2, C3, C4, D1, D2, F1, 68 A3, A4,B1, B2, B3, B4, C1, C2, C3, C4, D3, D4, F1, F2, F3, F4 F2, F3, F4 69 A1,A2, A3, A4, B1, B2, C1, C2, D1, D2, D3, D4, F1, 70 A1, A2, A3, A4, B1,B2, C3, C4, D1, D2, D3, D4, F1, F2, F3, F4 F2, F3, F4 71 A1, A2, A3, A4,B3, B4, C1, C2, D1, D2, D3, D4, F1, 72 A1, A2, A3, A4, B3, B4, C3, C4,D1, D2, D3, D4, F1, F2, F3, F4 F2, F3, F4 73 A1, A2, B1, B2, B3, B4, C1,C2, D1, D2, D3, D4, F1, 74 A1, A2, B1, B2, B3, B4, C3, C4, D1, D2, D3,D4, F1, F2, F3, F4 F2, F3, F4 75 A3, A4, B1, B2, B3, B4, C1, C2, D1, D2,D3, D4, F1, 76 A3, A4, B1, B2, B3, B4, C3, C4, D1, D2, D3, D4, F1, F2,F3, F4 F2, F3, F4 77 A1, A2, B1, B2, C1, C2, C3, C4, D1, D2, D3, D4, F1,78 A1, A2, B3, B4, C1, C2, C3, C4, D1, D2, D3, D4, F1, F2, F3, F4 F2,F3, F4 79 A3, A4, B1, B2, C1, C2, C3, C4, D1, D2, D3, D4, 80 A3, A4, B3,B4, C1, C2, C3, C4, D1, D2, D3, D4, F1, F1, F2, F3, F4 F2, F3, F4 81 A1,A2, A3, A4, B1, B2, B3, B4, C1, C2, C3, C4, 82 A1, A2, A3, A4, B1, B2,B3, B4, C1, C2, C3, C4, E1, E1, E2, F1, F2 E2, F3, F4 83 A1, A2, A3, A4,B1, B2, B3, B4, C1, C2, C3, C4, 84 A1, A2, A3, A4, B1, B2, B3, B4, C1,C2, C3, C4, E3, E3, E4, F1, F2 E4, F3, F4 85 A1, A2, A3, A4, B1, B2, B3,B4, C1, C2, E1, E2, 86 A1, A2, A3, A4, B1, B2, B3, B4, C1, C2, E1, E2,E3, E3, E4, F1, F2 E4, F3, F4 87 A1, A2, A3, A4, B1, B2, B3, B4, C3, C4,E1, E2, 88 A1, A2, A3, A4, B1, B2, B3, B4, C3, C4, E1, E2, E3, E3, E4,F1, F2 E4, F3, F4 89 A1, A2, A3, A4, B1, B2, C1, C2, C3, C4, E1, E2, 90A1, A2, A3, A4, B1, B2, C1, C2, C3, C4, E1, E2, E3, E3, E4, F1, F2 E4,F3, F4 91 A1, A2, A3, A4, B3, B4, C1, C2, C3, C4, E1, E2, 92 A1, A2, A3,A4, B3, B4, C1, C2, C3, C4, E1, E2, E3, E3, E4, F1, F2 E4, F3, F4 93 A1,A2, B1, B2, B3, B4, C1, C2, C3, C4, E1, E2, 94 A1, A2, B1, B2, B3, B4,C1, C2, C3, C4, E1, E2, E3, E3, E4, F1, F2 E4, F3, F4 95 A3, A4, B1, B2,B3, B4, C1, C2, C3, C4, E1, E2, 96 A3, A4, B1, B2, B3, B4, C1, C2, C3,C4, E1, E2, E3, E3, E4, F1, F2 E4, F3, F4 97 A1, A2, A3, A4, B1, B2, B3,B4, C1, C2, E1, E2, F1, 98 A1, A2, A3, A4, B1, B2, B3, B4, C1, C2, E3,E4, F1, F2, F3, F4 F2, F3, F4 99 A1, A2, A3, A4, B1, B2, B3, B4, C3, C4,E1, E2, F1, 100 A1, A2, A3, A4, B1, B2, B3, B4, C3, C4, E3, E4, F1, F2,F3, F4 F2, F3, F4 101 A1, A2, A3, A4, B1, B2, C1, C2, C3, C4, E1, E2,102 A1, A2, A3, A4, B1, B2, C1, C2, C3, C4, E3, E4, F1, F1, F2, F3, F4F2, F3, F4 103 A1, A2, A3, A4, B3, B4, C1, C2, C3, C4, E1, E2, 104 A1,A2, A3, A4, B3, B4, C1, C2, C3, C4, E3, E4, F1, F1, F2, F3, F4 F2, F3,F4 105 A1, A2, B1, B2, B3, B4, C1, C2, C3, C4, E1, E2, 106 A1, A2, B1,B2, B3, B4, C1, C2, C3, C4, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 107A3, A4, B1, B2, B3, B4, C1, C2, C3, C4, E1, E2, 108 A3, A4, B1, B2, B3,B4, C1, C2, C3, C4, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 109 A1, A2,A3, A4, B1, B2, C1, C2, E1, E2, E3, E4, F1, 110 A1, A2, A3, A4, B1, B2,C3, C4, E1, E2, E3, E4, F1, F2, F3, F4 F2, F3, F4 111 A1, A2, A3, A4,B3, B4, C1, C2, E1, E2, E3, E4, F1, 112 A1, A2, A3, A4, B3, B4, C3, C4,E1, E2, E3, E4, F1, F2, F3, F4 F2, F3, F4 113 A1, A2, B1, B2, B3, B4,C1, C2, E1, E2, E3, E4, F1, 114 A1, A2, B1, B2, B3, B4, C3, C4, E1, E2,E3, E4, F1, F2, F3F, 4 F2, F3, F4 115 A3, A4, B1, B2, B3, B4, C1, C2,E1, E2, E3, E4, F1, 116 A3, A4, B1, B2, B3, B4, C3, C4, E1, E2, E3, E4,F1, F2, F3, F4 F2, F3, F4 117 A1, A2, B1, B2, C1, C2, C3, C4, E1, E2,E3, E4, 118 A1, A2, B3, B4, C1, C2, C3, C4, E1, E2, E3, E4, F1, F1, F2,F3, F4 F2, F3, F4 119 A3, A4, B1, B2, C1, C2, C3, C4, E1, E2, E3, E4,120 A3, A4, B3, B4, C1, C2, C3, C4, E1, E2, E3, E4, F1, F1, F2, F3, F4F2, F3, F4 121 A1, A2, A3, A4, B1, B2, B3, B4, D1, D2, D3, D4, 122 A1,A2, A3, A4, B1, B2, B3, B4, D1, D2, D3, D4, E1, E1, E2, F1, F2 E2, F3,F4 123 A1, A2, A3, A4, B1, B2, B3, B4, D1, D2, D3, D4, 124 A1, A2, A3,A4, B1, B2, B3, B4, D1, D2, D3, D4, E3, E3, E4, F1, F2 E4, F3, F4 125A1, A2, A3, A4, B1, B2, B3, B4, D1, D2, E1, E2, E3, 126 A1, A2, A3, A4,B1, B2, B3, B4, D1, D2, E1, E2, E3, E4, F1, F2, 34 E4, F3, F4 127 A1,A2, A3, A4, B1, B2, B3, B4, D3, D4, E1, E2, E3, 128 A1, A2, A3, A4, B1,B2, B3, B4, D3, D4, E1, E2, E3, E4, F1, F2 E4, F3, F4 129 A1, A2, A3,A4, B1, B2, D1, D2, D3, D4, E1, E2, 130 A1, A2, A3, A4, B1, B2, D1, D2,D3, D4, E1, E2, E3, E3, E4, F1, F2 E4, F3, F4 131 A1, A2, A3, A4, B3,B4, D1, D2, D3, D4, E1, E2, 132 A3, A4, B1, B2, B3, B4, D1, D2, D3, D4,E1, E2, E3, E3, E4, F1, F2 E4, F1, F2 133 A1, A2, B1, B2, B3, B4, D1,D2, D3, D4, E1, E2, 134 A1, A2, B1, B2, B3, B4, D1, D2, D3, D4, E1, E2,E3, E3, E4, F1, F2 E4, F3, F4 135 A3, A4, B1, B2, B3, B4, D1, D2, D3,D4, E1, E2, 136 A3, A4, B1, B2, B3, B4, D1, D2, D3, D4, E1, E2, E3, E3,E4, F1, F2 E4, F3, F4 137 A1, A2, A3, A4, B1, B2, B3, B4, D1, D2, E1,E2, F1, 138 A1, A2, A3, A4, B1, B2, B3, B4, D1, D2, E3, E4, F1, F2, F3,F4 F2, F3, F4 139 A1, A2, A3, A4, B1, B2, B3, B4, D3, D4, E1, E2, F1,140 A1, A2, A3, A4, B1, B2, B3, B4, D3, D4, E3, E4, F1, F2, F3, F4 F2,F3, F4 141 A1, A2, A3, A4, B1, B2, D1, D2, D3, D4, E1, E2, 142 A1, A2,A3, A4, B1, B2, D1, D2, D3, D4, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4143 A1, A2, A3, A4, B3, B4, D1, D2, D3, D4, E1, E2, 144 A1, A2, A3, A4,B3, B4, D1, D2, D3, D4, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 145 A1,A2, B1, B2, B3, B4, D1, D2, D3, D4, E1, E2, 146 A1, A2, B1, B2, B3, B4,D1, D2, D3, D4, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 147 A3, A4, B1,B2, B3, B4, D1, D2, D3, D4, E1, E2, 148 A3, A4, B1, B2, B3, B4, D1, D2,D3, D4, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 149 A1, A2, A3, A4, B1,B2, D1, D2, E1, E2, E3, E4, F1, 150 A1, A2, A3, A4, B1, B2, D3, D4, E1,E2, E3, E4, F1, F2, F3, F4 F2, F3, F4 151 A1, A2, A3, A4, B3, B4, D1,D2, E1, E2, E3, E4, F1, 152 A1, A2, A3, A4, B3, B4, D3, D4, E1, E2, E3,E4, F1, F2, F3, F4 F2, F3, F4 153 A1, A2, B1, B2, B3, B4, D1, D2, E1,E2, E3, E4, F1, 154 A1, A2, B1, B2, B3, B4, D3, D4, E1, E2, E3, E4, F1,F2, F3, F4 F2, F3, F4 155 A3, A4, B1, B2, B3, B4, D1, D2, E1, E2, E3,E4, F1, 156 A3, A4, B1, B2, B3, B4, D3, D4, E1, E2, E3, E4, F1, F2, F3,F4 F2, F3, F4 157 A1, A2, B1, B2, D1, D2, D3, D4, E1, E2, E3, E4, 158A1, A2, B3, B4, D1, D2, D3, D4, E1, E2, E3, E4, F1, F1, F2, F3, F4 F2,F3, F4 159 A3, A4, B1, B2, D1, D2, D3, D4, E1, E2, E3, E4, 160 A3, A4,B3, B4, D1, D2, D3, D4, E1, E2, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4161 A1, A2, A3, A4, C1, C2, C3, C4, D1, D2, D3, D4, 162 A1, A2, A3, A4,C1, C2, C3, C4, D1, D2, D3, D4, E1, E1, E2, F1, F2 E2, F3, F4 163 A1,A2, A3, A4, C1, C2, C3, C4, D1, D2, D3, D4, 164 A1, A2, A3, A4, C1, C2,C3, C4, D1, D2, D3, D4, E3, E3, E4, F1, F2 E4, F3, F4 165 A1, A2, A3,A4, C1, C2, C3, C4, D1, D2, E1, E2, 166 A1, A2, A3, A4, C1, C2, C3, C4,D1, D2, E1, E2, E3, E3, E4, F1, F2 E4, F3, F4 167 A1, A2, A3, A4, C1,C2, C3, C4, D3, D4, E1, E2, 168 A1, A2, A3, A4, C1, C2, C3, C4, D3, D4,E1, E2, E3, E3, E4, F1, F2 E4, F3, F4 169 A1, A2, A3, A4, C1, C2, D1,D2, D3, D4, E1, E2, 170 A1, A2, A3, A4, C1, C2, D1, D2, D3, D4, E1, E2,E3, E3, E4, F1, F2 E4, F3, F4 171 A1, A2, A3, A4, C3, C4, D1, D2, D3,D4, E1, E2, 172 A1, A2, A3, A4, C3, C4, D1, D2, D3, D4, E1, E2, E3, E3,E4, F1, F2 E4, F3, F4 173 A1, A2, C1, C2, C3, C4, D1, D2, D3, D4, E1,E2, 174 A1, A2, C1, C2, C3, C4, D1, D2, D3, D4, E1, E2, E3, E3, E4, F1,F2 E4, F3, F4 175 A3, A4, C1, C2, C3, C4, D1, D2, D3, D4, E1, E2, 176A3, A4, C1, C2, C3, C4, D1, D2, D3, D4, E1, E2, E3, E3, E4, F1, F2 E4,F3, F4 177 A1, A2, A3, A4, C1, C2, C3, C4, D1, D2, E1, E2, 178 A1, A2,A3, A4, C1, C2, C3, C4, D1, D2, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4179 A1, A2, A3, A4, C1, C2, C3, C4, D3, D4, E1, E2, 180 A1, A2, A3, A4,C1, C2, C3, C4, D3, D4, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 181 A1,A2, A3, A4, C1, C2, D1, D2, D3, D4, E1, E2, 182 A1, A2, A3, A4, C1, C2,D1, D2, D3, D4, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 183 A1, A2, A3,A4, C3, C4, D1, D2, D3, D4, E1, E2, 184 A1, A2, A3, A4, C3, C4, D1, D2,D3, D4, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 185 A1, A2, C1, C2, C3,C4, D1, D2, D3, D4, E1, E2, 186 A1, A2, C1, C2, C3, C4, D1, D2, D3, D4,E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 187 A3, A4, C1, C2, C3, C4, D1,D2, D3, D4, E1, E2, 188 A3, A4, C1, C2, C3, C4, D1, D2, D3, D4, E3, E4,F1, F1, F2, F3, F4 F2, F3, F4 189 A1, A2, A3, A4, C1, C2, D1, D2, E1,E2, E3, E4, 190 A1, A2, A3, A4, C1, C2, D3, D4, E1, E2, E3, E4, F1, F1,F2, F3, F4 F2, F3, F4 191 A1, A2, A3, A4, C3, C4, D1, D2, E1, E2, E3,E4, 192 A1, A2, A3, A4, C3, C4, D3, D4, E1, E2, E3, E4, F1, F1, F2, F3,F4 F2, F3, F4 193 A1, A2, C1, C2, C3, C4, D1, D2, E1, E2, E3, E4, 194A1, A2, C1, C2, C3, C4, D3, D4, E1, E2, E3, E4, F1, F1, F2, F3, F4 F2,F3, F4 195 A3, A4, C1, C2, C3, C4, D1, D2, E1, E2, E3, E4, 196 A3, A4,C1, C2, C3, C4, D3, D4, E1, E2, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4197 A1, A2, C1, C2, D1, D2, D3, D4, E1, E2, E3, E4, 198 A1, A2, C3, C4,D1, D2, D3, D4, E1, E2, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 199 A3,A4, C1, C2, D1, D2, D3, D4, E1, E2, E3, E4, 200 A3, A4, C3, C4, D1, D2,D3, D4, E1, E2, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 201 B1, B2, B3,B4, C1, C2, C3, C4, D1, D2, D3, D4, 202 B1, B2, B3, B4, C1, C2, C3, C4,D1, D2, D3, D4, E1, E1, E2, F1, F2 E2, F3, F4 203 B1, B2, B3, B4, C1,C2, C3, C4, D1, D2, D3, D4, 204 B1, B2, B3, B4, C1, C2, C3, C4, D1, D2,D3, D4, E3, E3, E4, F1, F2 E4, F3, F4 205 B1, B2, B3, B4, C1, C2, C3,C4, D1, D2, E1, E2, 206 B1, B2, B3, B4, C1, C2, C3, C4, D1, D2, E1, E2,E3, E3, E4, F1, F2 E4, F3, F4 207 B1, B2, B3, B4, C1, C2, C3, C4, D3,D4, E1, E2, 208 B1, B2, B3, B4, C1, C2, C3, C4, D3, D4, E1, E2, E3, E3,E4, F1, F2 E4, F3, F4 209 B1, B2, B3, B4, C1, C2, D1, D2, D3, D4, E1,E2, 210 B1, B2, B3, B4, C1, C2, D1, D2, D3, D4, E1, E2, E3, E3, E4, F1,F2 E4, F3, F4 211 B1, B2, B3, B4, C3, C4, D1, D2, D3, D4, E1, E2, 212B1, B2, B3, B4, C3, C4, D1, D2, D3, D4, E1, E2, E3, E3, E4, F1, F2 E4,F3, F4 213 B1, B2, C1, C2, C3, C4, D1, D2, D3, D4, E1, E2, 214 B1, B2,C1, C2, C3, C4, D1, D2, D3, D4, E1, E2, E3, E3, E4, F1, F2 E4, F3, F4215 B3, B4, C1, C2, C3, C4, D1, D2, D3, D4, E1, E2, 216 B3, B4, C1, C2,C3, C4, D1, D2, D3, D4, E1, E2, E3, E3, E4, F1, F2 E4, F3, F4 217 B1,B2, B3, B4, C1, C2, C3, C4, D1, D2, E1, E2, 218 B1, B2, B3, B4, C1, C2,C3, C4, D1, D2, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 219 B1, B2, B3,B4, C1, C2, C3, C4, D3, D4, E1, E2, 220 B1, B2, B3, B4, C1, C2, C3, C4,D3, D4, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 221 B1, B2, B3, B4, C1,C2, D1, D2, D3, D4, E1, E2, 222 B1, B2, B3, B4, C1, C2, D1, D2, D3, D4,E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 223 B1, B2, B3, B4, C3, C4, D1,D2, D3, D4, E1, E2, 224 B1, B2, B3, B4, C3, C4, D1, D2, D3, D4, E3, E4,F1, F1, F2, F3, F4 F2, F3, F4 225 B1, B2, C1, C2, C3, C4, D1, D2, D3,D4, E1, E2, 226 B1, B2, C1, C2, C3, C4, D1, D2, D3, D4, E3, E4, F1, F1,F2, F3, F4 F2, F3, F4 227 B3, B4, C1, C2, C3, C4, D1, D2, D3, D4, E1,E2, 228 B3, B4, C1, C2, C3, C4, D1, D2, D3, D4, E3, E4, F1, F1, F2, F3,F4 F2, F3, F4 229 B1, B2, B3, B4, C1, C2, D1, D2, E1, E2, E3, E4, F1,230 B1, B2, B3, B4, C1, C2, D3, D4, E1, E2, E3, E4, F1, F2, F3, F4 F2,F3, F4 231 B1, B2, B3, B4, C3, C4, D1, D2, E1, E2, E3, E4, F1, 232 B1,B2, B3, B4, C3, C4, D3, D4, E1, E2, E3, E4, F1, F2, F3, F4 F2, F3, F4233 B1, B2, C1, C2, C3, C4, D1, D2, E1, E2, E3, E4, 234 B1, B2, C1, C2,C3, C4, D3, D4, E1, E2, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 235 B3,B4, C1, C2, C3, C4, D1, D2, E1, E2, E3, E4, 236 B3, B4, C1, C2, C3, C4,D3, D4, E1, E2, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 237 B1, B2, C1,C2, D1, D2, D3, D4, E1, E2, E3, E4, 238 B1, B2, C3, C4, D1, D2, D3, D4,E1, E2, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 239 B3, B4, C1, C2, D1,D2, D3, D4, E1, E2, E3, E4, 240 B3, B4, C3, C4, D1, D2, D3, D4, E1, E2,E3, E4, F1, F1, F2, F3, F4 F2, F3, F4

C. Among the groups A, B, C, D, E, and F of Table 33, two groups may beconfigured with QPSK, and the remaining four groups may be configuredwith BPSK.

Table 41 below shows examples of a codebook set configured in thismethod.

TABLE 41 case codebook set case codebook set 1 A1, A2, A3, A4, B1, B2,B3, B4, C1, C2, D1, D2, 2 A1, A2, A3, A4, B1, B2, B3, B4, C1, C2, D1,D2, E1, E1, E2, F1, F2 E2, F3, F4 3 A1, A2, A3, A4, B1, B2, B3, B4, C1,C2, D1, D2, 4 A1, A2, A3, A4, B1, B2, B3, B4, C1, C2, D1, D2, E3, E3,E4, F1, F2 E4, F3, F4 5 A1, A2, A3, A4, B1, B2, B3, B4, C1, C2, D3, D4,6 A1, A2, A3, A4, B1, B2, B3, B4, C1, C2, D3, D4, E1, E1, E2, F1, F2 E2,F3, F4 7 A1, A2, A3, A4, B1, B2, B3, B4, C1, C2, D3, D4, 8 A1, A2, A3,A4, B1, B2, B3, B4, C1, C2, D3, D4, E3, E3, E4, F1, F2 E4, F3, F4 9 A1,A2, A3, A4, B1, B2, B3, B4, C3, C4, D1, D2, 10 A1, A2, A3, A4, B1, B2,B3, B4, C3, C4, D1, D2, E1, E1, E2, F1, F2 E2, F3, F4 11 A1, A2, A3, A4,B1, B2, B3, B4, C3, C4, D1, D2, 12 A1, A2, A3, A4, B1, B2, B3, B4, C3,C4, D1, D2, E3, E3, E4, F1, F2 E4, F3, F4 13 A1, A2, A3, A4, B1, B2, B3,B4, C3, C4, D3, D4, 14 A1, A2, A3, A4, B1, B2, B3, B4, C3, C4, D3, D4,E1, E1, E2, F1, F2 E2, F3, F4 15 A1, A2, A3, A4, B1, B2, B3, B4, C3, C4,D3, D4, 16 A1, A2, A3, A4, B1, B2, B3, B4, C3, C4, D3, D4, E3, E3, E4,F1, F2 E4, F3, F4 17 A1, A2, A3, A4, B1, B2, C1, C2, C3, C4, D1, D2, 18A1, A2, A3, A4, B1, B2, C1, C2, C3, C4, D1, D2, E1, E1, E2, F1, F2 E2,F3, F4 19 A1, A2, A3, A4, B1, B2, C1, C2, C3, C4, D1, D2, 20 A1, A2, A3,A4, B1, B2, C1, C2, C3, C4, D1, D2, E3, E3, E4, F1, F2 E4, F3, F4 21 A1,A2, A3, A4, B1, B2, C1, C2, C3, C4, D3, D4, 22 A1, A2, A3, A4, B1, B2,C1, C2, C3, C4, D3, D4, E1, E1, E2, F1, F2 E2, F3, F4 23 A1, A2, A3, A4,B1, B2, C1, C2, C3, C4, D3, D4, 24 A1, A2, A3, A4, B1, B2, C1, C2, C3,C4, D3, D4, E3, E3, E4, F1, F2 E4, F3, F4 25 A1, A2, A3, A4, B3, B4, C1,C2, C3, C4, D1, D2, 26 A1, A2, A3, A4, B3, B4, C1, C2, C3, C4, D1, D2,E1, E1, E2, F1, F2 E2, F3, F4 27 A1, A2, A3, A4, B3, B4, C1, C2, C3, C4,D1, D2, 28 A1, A2, A3, A4, B3, B4, C1, C2, C3, C4, D1, D2, E3, E3, E4,F1, F2 E4, F3, F4 29 A1, A2, A3, A4, B3, B4, C1, C2, C3, C4, D3, D4, 30A1, A2, A3, A4, B3, B4, C1, C2, C3, C4, D3, D4, E1, E1, E2, F1, F2 E2,F3, F4 31 A1, A2, A3, A4, B3, B4, C1, C2, C3, C4, D3, D4, 32 A1, A2, A3,A4, B3, B4, C1, C2, C3, C4, D3, D4, E3, E3, E4, F1, F2 E4, F3, F4 33 A1,A2, A3, A4, B1, B2, C1, C2, D1, D2, D3, D4, 34 A1, A2, A3, A4, B1, B2,C1, C2, D1, D2, D3, D4, E1, E1, E2, F1, F2 E2, F3, F4 35 A1, A2, A3, A4,B1, B2, C1, C2, D1, D2, D3, D4, 36 A1, A2, A3, A4, B1, B2, C1, C2, D1,D2, D3, D4, E3, E3, E4, F1, F2 E4, F3, F4 37 A1, A2, A3, A4, B1, B2, C3,C4, D1, D2, D3, D4, 38 A1, A2, A3, A4, B1, B2, C3, C4, D1, D2, D3, D4,E1, E1, E2, F1, F2 E2, F3, F4 39 A1, A2, A3, A4, B1, B2, C3, C4, D1, D2,D3, D4, 40 A1, A2, A3, A4, B1, B2, C3, C4, D1, D2, D3, D4, E3, E3, E4,F1, F2 E4, F3, F4 41 A1, A2, A3, A4, B3, B4, C1, C2, D1, D2, D3, D4, 42A1, A2, A3, A4, B3, B4, C1, C2, D1, D2, D3, D4, E1, E1, E2, F1, F2 E2,F3, F4 43 A1, A2, A3, A4, B3, B4, C1, C2, D1, D2, D3, D4, 44 A1, A2, A3,A4, B3, B4, C1, C2, D1, D2, D3, D4, E3, E3, E4, F1, F2 E4, F3, F4 45 A1,A2, A3, A4, B3, B4, C3, C4, D1, D2, D3, D4, 46 A1, A2, A3, A4, B3, B4,C3, C4, D1, D2, D3, D4, E1, E1, E2, F1, F2 E2, F3, F4 47 A1, A2, A3, A4,B3, B4, C3, C4, D1, D2, D3, D4, 48 A1, A2, A3, A4, B3, B4, C3, C4, D1,D2, D3, D4, E3, E3, E4, F1, F2 E4, F3, F4 49 A1, A2, A3, A4, B1, B2, C1,C2, D1, D2, E1, E2, 50 A1, A2, A3, A4, B1, B2, C1, C2, D1, D2, E1, E2,E3, E3, E4, F1, F2 E4, F3, F4 51 A1, A2, A3, A4, B1, B2, C1, C2, D3, D4,E1, E2, 52 A1, A2, A3, A4, B1, B2, C1, C2, D3, D4, E1, E2, E3, E3, E4,F1, F2 E4, F3, F4 53 A1, A2, A3, A4, B1, B2, C3, C4, D1, D2, E1, E2, 54A1, A2, A3, A4, B1, B2, C3, C4, D1, D2, E1, E2, E3, E3, E4, F1, F2 E4,F3, F4 55 A1, A2, A3, A4, B1, B2, C3, C4, D3, D4, E1, E2, 56 A1, A2, A3,A4, B1, B2, C3, C4, D3, D4, E1, E2, E3, E3, E4, F1, F2 E4, F3, F4 57 A1,A2, A3, A4, B3, B4, C1, C2, D1, D2, E1, E2, 58 A1, A2, A3, A4, B3, B4,C1, C2, D1, D2, E1, E2, E3, E3, E4, F1, F2 E4, F3, F4 59 A1, A2, A3, A4,B3, B4, C1, C2, D3, D4, E1, E2, 60 A1, A2, A3, A4, B3, B4, C1, C2, D3,D4, E1, E2, E3, E3, E4, F1, F2 E4, F3, F4 61 A1, A2, A3, A4, B3, B4, C3,C4, D1, D2, E1, E2, 62 A1, A2, A3, A4, B3, B4, C3, C4, D1, D2, E1, E2,E3, E3, E4, F1, F2 E4, F3, F4 63 A1, A2, A3, A4, B3, B4, C3, C4, D3, D4,E1, E2, 64 A1, A2, A3, A4, B3, B4, C3, C4, D3, D4, E1, E2, E3, E3, E4,F1, F2 E4, F3, F4 65 A1, A2, A3, A4, B1, B2, C1, C2, D1, D2, E1, E2, 66A1, A2, A3, A4, B1, B2, C1, C2, D1, D2, E3, E4, F1, F1, F2, F3, F4 F2,F3, F4 67 A1, A2, A3, A4, B1, B2, C1, C2, D3, D4, E1, E2, 68 A1, A2, A3,A4, B1, B2, C1, C2, D3, D4, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 69 A1,A2, A3, A4, B1, B2, C3, C4, D1, D2, E1, E2, 70 A1, A2, A3, A4, B1, B2,C3, C4, D1, D2, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 71 A1, A2, A3, A4,B1, B2, C3, C4, D3, D4, E1, E2, 72 A1, A2, A3, A4, B1, B2, C3, C4, D3,D4, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 73 A1, A2, A3, A4, B3, B4, C1,C2, D1, D2, E1, E2, 74 A1, A2, A3, A4, B3, B4, C1, C2, D1, D2, E3, E4,F1, F1, F2, F3, F4 F2, F3, F4 75 A1, A2, A3, A4, B3, B4, C1, C2, D3, D4,E1, E2, 76 A1, A2, A3, A4, B3, B4, C1, C2, D3, D4, E3, E4, F1, F1, F2,F3, F4 F2, F3, F4 77 A1, A2, A3, A4, B3, B4, C3, C4, D1, D2, E1, E2, 78A1, A2, A3, A4, B3, B4, C3, C4, D1, D2, E3, E4, F1, F1, F2, F3, F4 F2,F3, F4 79 A1, A2, A3, A4, B3, B4, C3, C4, D3, D4, E1, E2, 80 A1, A2, A3,A4, B3, B4, C3, C4, D3, D4, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 81 A1,A2, B1, B2, B3, B4, C1, C2, C3, C4, D1, D2, 82 A1, A2, B1, B2, C1, C2,C3, C4, D1, D2, E1, E2, F3, E1, E2, F1, F2 F4 83 A1, A2, B1, B2, C1, C2,C3, C4, D1, D2, E3, E4, 84 A1, A2, B1, B2, B3, B4, C1, C2, C3, C4, D1,D2, E3, F1, F2 E4, F3, F4 85 A1, A2, B1, B2, B3, B4, C1, C2, C3, C4, D3,D4, 86 A1, A2, B1, B2, B3, B4, C1, C2, C3, C4, D3, D4, E1, E1, E2, F1,F2 E2, F3, F4 87 A1, A2, B1, B2, B3, B4, C1, C2, C3, C4, D3, D4, 88 A1,A2, B1, B2, B3, B4, C1, C2, C3, C4, D3, D4, E3, E3, E4, F1, F2 E4, F3,F4 89 A3, A4, B1, B2, B3, B4, C1, C2, C3, C4, D1, D2, 90 A3, A4, B1, B2,B3, B4, C1, C2, C3, C4, D1, D2, E1, E1, E2, F1, F2 E2, F3, F4 91 A3, A4,B1, B2, B3, B4, C1, C2, C3, C4, D1, D2, 92 A3, A4, B1, B2, B3, B4, C1,C2, C3, C4, D1, D2, E3, E3, E4, F1, F2 E4, F3, F4 93 A3, A4, B1, B2, B3,B4, C1, C2, C3, C4, D3, D4, 94 A3, A4, B1, B2, B3, B4, C1, C2, C3, C4,D3, D4, E1, E1, E2, F1, F2 E2, F3, F4 95 A3, A4, B1, B2, B3, B4, C1, C2,C3, C4, D3, D4, 96 A3, A4, B1, B2, B3, B4, C1, C2, C3, C4, D3, D4, E3,E3, E4, F1, F2 E4, F3, F4 97 A1, A2, B1, B2, B3, B4, C1, C2, D1, D2, D3,D4, 98 A1, A2, B1, B2, B3, B4, C1, C2, D1, D2, D3, D4, E1, E1, E2, F1,F2 E2, F3, F4 99 A1, A2, B1, B2, B3, B4, C1, C2, D1, D2, D3, D4, 100 A1,A2, B1, B2, B3, B4, C1, C2, D1, D2, D3, D4, E3, E3, E4, F1, F2 E4, F3,F4 101 A1, A2, B1, B2, B3, B4, C3, C4, D1, D2, D3, D4, 102 A1, A2, B1,B2, B3, B4, C3, C4, D1, D2, D3, D4, E1, E1, E2, F1, F2 E2, F3, F4 103A1, A2, B1, B2, B3, B4, C3, C4, D1, D2, D3, D4, 104 A1, A2, B1, B2, B3,B4, C3, C4, D1, D2, D3, D4, E3, E3, E4, F1, F2 E4, F3, F4 105 A3, A4,B1, B2, B3, B4, C1, C2, D1, D2, D3, D4, 106 A3, A4, B1, B2, B3, B4, C1,C2, D1, D2, D3, D4, E1, E1, E2, F1, F2 E2, F3, F4 107 A3, A4, B1, B2,B3, B4, C1, C2, D1, D2, D3, D4, 108 A3, A4, B1, B2, B3, B4, C1, C2, D1,D2, D3, D4, E3, E3, E4, F1, F2 E4, F3, F4 109 A3, A4, B1, B2, B3, B4,C3, C4, D1, D2, D3, D4, 110 A3, A4, B1, B2, B3, B4, C1, C2, D1, D2, D3,D4, E1, E1, E2, F1, F2 E2, F3, F4 111 A3, A4, B1, B2, B3, B4, C1, C2,D1, D2, D3, D4, 112 A3, A4, B1, B2, B3, B4, C1, C2, D1, D2, D3, D4, E3,E3, E4, F1, F2 E4, F3, F4 113 A1, A2, B1, B2, B3, B4, C1, C2, D1, D2,E1, E2, 114 A1, A2, B1, B2, B3, B4, C1, C2, D1, D2, E1, E2, E3, E3, E4,F1, F2 E4, F3, F4 115 A1, A2, B1, B2, B3, B4, C1, C2, D3, D4, E1, E2,116 A1, A2, B1, B2, B3, B4, C1, C2, D3, D4, E1, E2, E3, E3, E4, F1, F2E4, F3, F4 117 A1, A2, B1, B2, B3, B4, C3, C4, D1, D2, E1, E2, 118 A1,A2, B1, B2, B3, B4, C3, C4, D1, D2, E1, E2, E3, E3, E4, F1, F2 E4, F3,F4 119 A1, A2, B1, B2, B3, B4, C3, C4, D3, D4, E1, E2, 120 A1, A2, B1,B2, B3, B4, C3, C4, D3, D4, E1, E2, E3, E3, E4, F1, F2 E4, F3, F4 121A3, A4, B1, B2, B3, B4, C1, C2, D1, D2, E1, E2, 122 A3, A4, B1, B2, B3,B4, C1, C2, D1, D2, E1, E2, E3, E3, E4, F1, F2 E4, F3, F4 123 A3, A4,B1, B2, B3, B4, C1, C2, D3, D4, E1, E2, 1242 A3, A4, B1, B2, B3, B4, C1,C2, D3, D4, E1, E2, E3, E3, E4, F1, F2 E4, F3, F4 125 A3, A4, B1, B2,B3, B4, C3, C4, D1, D2, E1, E2, 126 A3, A4, B1, B2, B3, B4, C3, C4, D1,D2, E1, E2, E3, E3, E4, F1, F2 E4, F3, F4 127 A3, A4, B1, B2, B3, B4,C3, C4, D3, D4, E1, E2, 128 A3, A4, B1, B2, B3, B4, C3, C4, D3, D4, E1,E2, E3, E3, E4, F1, F2 E4, F3, F4 129 A1, A2, B1, B2, B3, B4, C1, C2,D1, D2, E1, E2, 130 A1, A2, B1, B2, B3, B4, C1, C2, D1, D2, E3, E4, F1,F1, F2, F3, F4 F2, F3, F4 131 A1, A2, B1, B2, B3, B4, C1, C2, D3, D4,E1, E2, 132 A1, A2, B1, B2, B3, B4, C1, C2, D3, D4, E3, E4, F1, F1, F2,F3, F4 F2, F3, F4 133 A1, A2, B1, B2, B3, B4, C3, C4, D1, D2, E1, E2,134 A1, A2, B1, B2, B3, B4, C3, C4, D1, D2, E3, E4, F1, F1, F2, F3, F4F2, F3, F4 135 A1, A2, B1, B2, B3, B4, C3, C4, D3, D4, E1, E2, 136 A1,A2, B1, B2, B3, B4, C3, C4, D3, D4, E3, E4, F1, F1, F2, F3, F4 F2, F3,F4 137 A3, A4, B1, B2, B3, B4, C1, C2, D1, D2, E1, E2, 138 A3, A4, B1,B2, B3, B4, C1, C2, D1, D2, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 139A3, A4, B1, B2, B3, B4, C1, C2, D3, D4, E1, E2, 140 A3, A4, B1, B2, B3,B4, C1, C2, D3, D4, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 141 A3, A4,B1, B2, B3, B4, C3, C4, D1, D2, E1, E2, 142 A3, A4, B1, B2, B3, B4, C3,C4, D1, D2, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 143 A3, A4, B1, B2,B3, B4, C3, C4, D3, D4, E1, E2, 144 A3, A4, B1, B2, B3, B4, C3, C4, D3,D4, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 145 A1, A2, B1, B2, C1, C2,C3, C4, D1, D2, D3, D4, 146 A1, A2, B1, B2, C1, C2, C3, C4, D1, D2, D3,D4, E1, E1, E2, F1, F2 E2, F3, F4 147 A1, A2, B1, B2, C1, C2, C3, C4,D1, D2, D3, D4, 148 A1, A2, B1, B2, C1, C2, C3, C4, D1, D2, D3, D4, E1,E3, E4, F1, F2 E2, F3, F4 149 A1, A2, B3, B4, C1, C2, C3, C4, D1, D2,D3, D4, 150 A1, A2, B3, B4, C1, C2, C3, C4, D1, D2, D3, D4, E1, E1, E2,F1, F2 E2, F3, F4 151 A1, A2, B3, B4, C1, C2, C3, C4, D1, D2, D3, D4,152 A1, A2, B3, B4, C1, C2, C3, C4, D1, D2, D3, D4, E3, E3, E4, F1, F2E4, F3, F4 153 A3, A4, B1, B2, C1, C2, C3, C4, D1, D2, D3, D4, 154 A3,A4, B1, B2, C1, C2, C3, C4, D1, D2, D3, D4, E1, E1, E2, F1, F2 E2, F3,F4 155 A3, A4, B1, B2, C1, C2, C3, C4, D1, D2, D3, D4, 156 A3, A4, B1,B2, C1, C2, C3, C4, D1, D2, D3, D4, E3, E3, E4, F1, F2 E4, F3, F4 157A3, A4, B3, B4, C1, C2, C3, C4, D1, D2, D3, D4, 158 A3, A4, B3, B4, C1,C2, C3, C4, D1, D2, D3, D4, E1, E1, E2, F1, F2 E2, F3, F4 159 A3, A4,B3, B4, C1, C2, C3, C4, D1, D2, D3, D4, 160 A3, A4, B3, B4, C1, C2, C3,C4, D1, D2, D3, D4, E3, E3, E4, F1, F2 E4, F3, F4 161 A1, A2, B1, B2,C1, C2, C3, C4, D1, D2, E1, E2, 162 A1, A2, B1, B2, C1, C2, C3, C4, D1,D2, E1, E2, E3, E3, E4, F1, F2 E4, F3, F4 163 A1, A2, B1, B2, C1, C2,C3, C4, D3, D4, E1, E2, 164 A1, A2, B1, B2, C1, C2, C3, C4, D3, D4, E1,E2, E3, E3, E4, F1, F2 E4, F3, F4 165 A1, A2, B3, B4, C1, C2, C3, C4,D1, D2, E1, E2, 166 A1, A2, B3, B4, C1, C2, C3, C4, D1, D2, E1, E2, E3,E3, E4, F1, F2 E4, F3, F4 167 A1, A2, B3, B4, C1, C2, C3, C4, D3, D4,E1, E2, 168 A1, A2, B3, B4, C1, C2, C3, C4, D3, D4, E1, E2, E3, E3, E4,F1, F2 E4, F3, F4 169 A3, A4, B1, B2, C1, C2, C3, C4, D1, D2, E1, E2,170 A3, A4, B1, B2, C1, C2, C3, C4, D1, D2, E1, E2, E3, E3, E4, F1, F2E4, F3, F4 171 A3, A4, B1, B2, C1, C2, C3, C4, D3, D4, E1, E2, 172 A3,A4, B1, B2, C1, C2, C3, C4, D3, D4, E1, E2, E3, E3, E4, F1, F2 E4, F3,F4 173 A3, A4, B3, B4, C1, C2, C3, C4, D1, D2, E1, E2, 174 A3, A4, B3,B4, C1, C2, C3, C4, D1, D2, E1, E2, E3, E3, E4, F1, F2 E4, F3, F4 175A3, A4, B3, B4, C1, C2, C3, C4, D3, D4, E1, E2, 176 A3, A4, B3, B4, C1,C2, C3, C4, D3, D4, E1, E2, E3, E3, E4, F1, F2 E4, F3, F4 177 A1, A2,B1, B2, C1, C2, C3, C4, D1, D2, E1, E2, 178 A1, A2, B1, B2, C1, C2, C3,C4, D1, D2, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 179 A1, A2, B1, B2,C1, C2, C3, C4, D3, D4, E1, E2, 180 A1, A2, B1, B2, C1, C2, C3, C4, D3,D4, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 181 A1, A2, B3, B4, C1, C2,C3, C4, D1, D2, E1, E2, 182 A1, A2, B3, B4, C1, C2, C3, C4, D1, D2, E3,E4, F1, F1, F2, F3, F4 F2, F3, F4 183 A1, A2, B3, B4, C1, C2, C3, C4,D3, D4, E1, E2, 184 A1, A2, B3, B4, C1, C2, C3, C4, D3, D4, E3, E4, F1,F1, F2, F3, F4 F2, F3, F4 185 A3, A4, B1, B2, C1, C2, C3, C4, D1, D2,E1, E2, 186 A3, A4, B1, B2, C1, C2, C3, C4, D1, D2, E3, E4, F1, F1, F2,F3, F4 F2, F3, F4 187 A3, A4, B1, B2, C1, C2, C3, C4, D3, D4, E1, E2,188 A3, A4, B1, B2, C1, C2, C3, C4, D3, D4, E3, E4, F1, F1, F2, F3, F4F2, F3, F4 189 A3, A4, B3, B4, C1, C2, C3, C4, D1, D2, E1, E2, 190 A3,A4, B3, B4, C1, C2, C3, C4, D1, D2, E3, E4, F1, F1, F2, F3, F4 F2, F3,F4 191 A3, A4, B3, B4, C1, C2, C3, C4, D3, D4, E1, E2, 192 A3, A4, B3,B4, C1, C2, C3, C4, D3, D4, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 193A1, A2, B1, B2, C1, C2, D1, D2, D3, D4, E1, E2, 194 A1, A2, B1, B2, C1,C2, D1, D2, D3, D4, E1, E2, E3, E3, E4, F1, F2 E4, F3, F4 195 A1, A2,B1, B2, C3, C4, D1, D2, D3, D4, E1, E2, 196 A1, A2, B1, B2, C3, C4, D1,D2, D3, D4, E1, E2, E3, E3, E4, F1, F2 E4, F3, F4 197 A1, A2, B3, B4,C1, C2, D1, D2, D3, D4, E1, E2, 198 A1, A2, B3, B4, C1, C2, D1, D2, D3,D4, E1, E2, E3, E3, E4, F1, F2 E4, F3, F4 199 A1, A2, B3, B4, C3, C4,D1, D2, D3, D4, E1, E2, 200 A1, A2, B3, B4, C3, C4, D1, D2, D3, D4, E1,E2, E3, E3, E4, F1, F2 E4, F3, F4 201 A3, A4, B1, B2, C1, C2, D1, D2,D3, D4, E1, E2, 202 A3, A4, B1, B2, C1, C2, D1, D2, D3, D4, E1, E2, E3,E3, E4, F1, F2 E4, F3, F4 203 A3, A4, B1, B2, C3, C4, D1, D2, D3, D4,E1, E2, 204 A3, A4, B1, B2, C3, C4, D1, D2, D3, D4, E1, E2, E3, E3, E4,F1, F2 E4, F3, F4 205 A3, A4, B3, B4, C1, C2, D1, D2, D3, D4, E1, E2,206 A3, A4, B3, B4, C1, C2, D1, D2, D3, D4, E1, E2, E3, E3, E4, F1, F2E4, F3, F4 207 A3, A4, B3, B4, C3, C4, D1, D2, D3, D4, E1, E2, 208 A3,A4, B3, B4, C3, C4, D1, D2, D3, D4, E1, E2, E3, E3, E4, F1, F2 E4, F3,F4 209 A1, A2, B1, B2, C1, C2, D1, D2, D3, D4, E1, E2, 210 A1, A2, B1,B2, C1, C2, D1, D2, D3, D4, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 211A1, A2, B1, B2, C3, C4, D1, D2, D3, D4, E1, E2, 212 A1, A2, B1, B2, C3,C4, D1, D2, D3, D4, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 213 A1, A2,B3, B4, C1, C2, D1, D2, D3, D4, E1, E2, 214 A1, A2, B3, B4, C1, C2, D1,D2, D3, D4, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 215 A1, A2, B3, B4,C3, C4, D1, D2, D3, D4, E1, E2, 216 A1, A2, B3, B4, C3, C4, D1, D2, D3,D4, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 217 A3, A4, B1, B2, C1, C2,D1, D2, D3, D4, E1, E2, 218 A3, A4, B1, B2, C1, C2, D1, D2, D3, D4, E3,E4, F1, F1, F2, F3, F4 F2, F3, F4 219 A3, A4, B1, B2, C3, C4, D1, D2,D3, D4, E1, E2, 220 A3, A4, B1, B2, C3, C4, D1, D2, D3, D4, E3, E4, F1,F1, F2, F3, F4 F2, F3, F4 221 A3, A4, B3, B4, C1, C2, D1, D2, D3, D4,E1, E2, 222 A3, A4, B3, B4, C1, C2, D1, D2, D3, D4, E3, E4, F1, F1, F2,F3, F4 F2, F3, F4 223 A3, A4, B3, B4, C3, C4, D1, D2, D3, D4, E1, E2,224 A3, A4, B3, B4, C3, C4, D1, D2, D3, D4, E3, E4, F1, F1, F2, F3, F4F2, F3, F4 225 A1, A2, B1, B2, C1, C2, D1, D2, E1, E2, E3, E4, 226 A1,A2, B1, B2, C1, C2, D3, D4, E1, E2, E3, E4, F1, F1, F2, F3, F4 F2, F3,F4 227 A1, A2, B1, B2, C3, C4, D1, D2, E1, E2, E3, E4, 228 A1, A2, B1,B2, C3, C4, D3, D4, E1, E2, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 229A1, A2, B3, B4, C1, C2, D1, D2, E1, E2, E3, E4, 230 A1, A2, B3, B4, C1,C2, D3, D4, E1, E2, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 231 A1, A2,B3, B4, C3, C4, D1, D2, E1, E2, E3, E4, 232 A1, A2, B3, B4, C3, C4, D3,D4, E1, E2, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 233 A3, A4, B1, B2,C1, C2, D1, D2, E1, E2, E3, E4, 234 A3, A4, B1, B2, C1, C2, D3, D4, E1,E2, E3, E4, F1, F1, F2, F3, F4 F2, F3, F4 235 A3, A4, B1, B2, C3, C4,D1, D2, E1, E2, E3, E4, 236 A3, A4, B1, B2, C3, C4, D3, D4, E1, E2, E3,E4, F1, F1, F2, F3, F4 F2, F3, F4 237 A3, A4, B3, B4, C1, C2, D1, D2,E1, E2, E3, E4, 238 A3, A4, B3, B4, C1, C2, D3, D4, E1, E2, E3, E4, F1,F1, F2, F3, F4 F2, F3, F4 239 A3, A4, B3, B4, C3, C4, D1, D2, E1, E2,E3, E4, 240 A3, A4, B3, B4, C3, C4, D3, D4, E1, E2, E3, E4, F1, F1, F2,F3, F4 F2, F3, F4

(4) Now, a method of configuring a codebook set having 20 elements willbe described.

A. In the method of configuring the codebook set having 20 elements, 5groups are selected from the groups A, B, C, D, E, and F of Table 33.Each of the selected groups may be configured with QPSK.

Table 42 below shows examples of a codebook set having 20 elements byselecting 5 groups.

TABLE 42 CASE codebook set 1 A1, A2, A3, A4, B1, B2, B3, B4, C1, C2, C3,C4, D1, D2, D3, D4, E1, E2, E3, E4 2 A1, A2, A3, A4, B1, B2, B3, B4, C1,C2, C3, C4, D1, D2, D3, D4, F1, F2, F3, F4 3 A1, A2, A3, A4, B1, B2, B3,B4, C1, C2, C3, C4, E1, E2, E3, E4, F1, F2, F3, F4 4 A1, A2, A3, A4, B1,B2, B3, B4, D1, D2, D3, D4, E1, E2, E3, E4, F1, F2, F3, F4 5 A1, A2, A3,A4, C1, C2, C3, C4, D1, D2, D3, D4, E1, E2, E3, E4, F1, F2, F3, F4 6 B1,B2, B3, B4, C1, C2, C3, C4, D1, D2, D3, D4, E1, E2, E3, E4, F1, F2, F3,F4

B. In another method of configuring a codebook set having 20 elements,among the groups A, B, C, D, E, and F of Table 33, four groups may beconfigured with QPSK, and the remaining two groups may be configuredwith BPSK.

Table 43 below shows examples of a codebook set configured in thismethod.

TABLE 43 CASE codebook set CASE codebook set 1 A1, A2, A3, A4, B1, B2,B3, B4, C1, C2, C3, C4, 2 A1, A2, A3, A4, B1, B2, B3, B4, C1, C2, C3,C4, D1, D2, D3, D4, E1, E2, F1, F2 D1, D2, D3, D4, E1, E2, F3, F4 3 A1,A2, A3, A4, B1, B2, B3, B4, C1, C2, C3, C4, 4 A1, A2, A3, A4, B1, B2,B3, B4, C1, C2, C3, C4, D1, D2, D3, D4, E3, E4, F1, F2 D1, D2, D3, D4,E3, E4, F3, F4 5 A1, A2, A3, A4, B1, B2, B3, B4, C1, C2, C3, C4, 6 A1,A2, A3, A4, B1, B2, B3, B4, C1, C2, C3, C4, D1, D2, E1, E2, E3, E4, F1,F2 D1, D2, E1, E2, E3, E4, F3, F4 7 A1, A2, A3, A4, B1, B2, B3, B4, C1,C2, C3, C4, 8 A1, A2, A3, A4, B1, B2, B3, B4, C1, C2, C3, C4, D3, D4,E1, E2, E3, E4, F1, F2 D3, D4, E1, E2, E3, E4, F3, F4 9 A1, A2, A3, A4,B1, B2, B3, B4, C1, C2, D1, D2, 10 A1, A2, A3, A4, B1, B2, B3, B4, C1,C2, D1, D2, D3, D4, E1, E2, E3, E4, F1, F2 D3, D4, E1, E2, E3, E4, F3,F4 11 A1, A2, A3, A4, B1, B2, B3, B4, C3, C4, D1, D2, 12 A1, A2, A3, A4,B1, B2, B3, B4, C3, C4, D1, D2, D3, D4, E1, E2, E3, E4, F1, F2 D3, D4,E1, E2, E3, E4, F3, F4 13 A1, A2, A3, A4, B1, B2, C1, C2, C3, C4, D1,D2, 14 A1, A2, A3, A4, B1, B2, C1, C2, C3, C4, D1, D2, D3, D4, E1, E2,E3, E4, F1, F2 D3, D4, E1, E2, E3, E4, F3, F4 15 A1, A2, A3, A4, B3, B4,C1, C2, C3, C4, D1, D2, 16 A1, A2, A3, A4, B3, B4, C1, C2, C3, C4, D1,D2, D3, D4, E1, E2, E3, E4, F1, F2 D3, D4, E1, E2, E3, E4, F3, F4 17 A1,A2, B1, B2, B3, B4, C1, C2, C3, C4, D1, D2, 18 A1, A2, B1, B2, B3, B4,C1, C2, C3, C4, D1, D2, D3, D4, E1, E2, E3, E4, F1, F2 D3, D4, E1, E2,E3, E4, F3, F4 19 A3, A4, B1, B2, B3, B4, C1, C2, C3, C4, D1, D2, 20 A3,A4, B1, B2, B3, B4, C1, C2, C3, C4, D1, D2, D3, D4, E1, E2, E3, E4, F1,F2 D3, D4, E1, E2, E3, E4, F3, F4 21 A1, A2, A3, A4, B1, B2, B3, B4, C1,C2, C3, C4, 22 A1, A2, A3, A4, B1, B2, B3, B4, C1, C2, C3, C4, D1, D2,E1, E2, F1, F2, F3, F4 D1, D2, E3, E4, F1, F2, F3, F4 23 A1, A2, A3, A4,B1, B2, B3, B4, C1, C2, C3, C4, 24 A1, A2, A3, A4, B1, B2, B3, B4, C1,C2, C3, C4, D3, D4, E1, E2, F1, F2, F3, F4 D3, D4, E3, E4, F1, F2, F3,F4 25 A1, A2, A3, A4, B1, B2, B3, B4, C1, C2, D1, D2, 26 A1, A2, A3, A4,B1, B2, B3, B4, C1, C2, D1, D2, D3, D4, E1, E2, F1, F2, F3, F4 D3, D4,E3, E4, F1, F2, F3, F4 27 A1, A2, A3, A4, B1, B2, B3, B4, C3, C4, D1,D2, 28 A1, A2, A3, A4, B1, B2, B3, B4, C3, C4, D1, D2, D3, D4, E1, E2,F1, F2, F3, F4 D3, D4, E3, E4, F1, F2, F3, F4 29 A1, A2, A3, A4, B1, B2,C1, C2, C3, C4, D1, D2, 30 A1, A2, A3, A4, B1, B2, C1, C2, C3, C4, D1,D2, D3, D4, E1, E2, F1, F2, F3, F4 D3, D4, E3, E4, F1, F2, F3, F4 31 A1,A2, A3, A4, B3, B4, C1, C2, C3, C4, D1, D2, 32 A1, A2, A3, A4, B3, B4,C1, C2, C3, C4, D1, D2, D3, D4, E1, E2, F1, F2, F3, F4 D3, D4, E3, E4,F1, F2, F3, F4 33 A1, A2, B1, B2, B3, B4, C1, C2, C3, C4, D1, D2, 34 A1,A2, B1, B2, B3, B4, C1, C2, C3, C4, D1, D2, D3, D4, E1, E2, F1, F2, F3,F4 D3, D4, E3, E4, F1, F2, F3, F4 35 A3, A4, B1, B2, B3, B4, C1, C2, C3,C4, D1, D2, 36 A3, A4, B1, B2, B3, B4, C1, C2, C3, C4, D1, D2, D3, D4,E1, E2, F1, F2, F3, F4 D3, D4, E4, E4, F1, F2, F3, F4 37 A1, A2, A3, A4,B1, B2, B3, B4, C1, C2, D1, D2, 38 A1, A2, A3, A4, B1, B2, B3, B4, C1,C2, D3, D4, E1, E1, E2, E3, E4, F1, F2, F3, F4 E2, E3, E4, F1, F2, F3,F4 39 A1, A2, A3, A4, B1, B2, B3, B4, C3, C4, D1, D2, 40 A1, A2, A3, A4,B1, B2, B3, B4, C3, C4, D3, D4, E1, E1, E2, E3, E4, F1, F2, F3, F4 E2,E3, E4, F1, F2, F3, F4 41 A1, A2, A3, A4, B1, B2, C1, C2, C3, C4, D1,D2, 42 A1, A2, A3, A4, B1, B2, C1, C2, C3, C4, D3, D4, E1, E2, E3, E4,F1, F2, F3, F4 E1, E2, E3, E4, F1, F2, F3, F4 43 A1, A2, A3, A4, B3, B4,C1, C2, C3, C4, D1, D2, 44 A1, A2, A3, A4, B3, B4, C1, C2, C3, C4, D3,D4, E1, E2, E3, E4, F1, F2, F3, F4 E1, E2, E3, E4, F1, F2, F3, F4 45 A1,A2, B1, B2, B3, B4, C1, C2, C3, C4, D1, D2, 46 A1, A2, B1, B2, B3, B4,C1, C2, C3, C4, D3, D4, E1, E2, E3, E4, F1, F2, F3, F4 E1, E2, E3, E4,F1, F2, F3, F4 47 A3, A4, B1, B2, B3, B4, C1, C2, C3, C4, D1, D2, 48 A3,A4, B1, B2, B3, B4, C1, C2, C3, C4, D3, D4, E1, E2, E3, E4, F1, F2, F3,F4 E1, E2, E3, E4, F1, F2, F3, F4 49 A1, A2, A3, A4, B1, B2, C1, C2, D1,D2, D3, D4, 50 A1, A2, A3, A4, B1, B2, C3, C4, D1, D2, D3, D4, E1, E2,E3, E4, F1, F2, F3, F4 E1, E2, E3, E4, F1, F2, F3, F4 51 A1, A2, A3, A4,B3, B4, C1, C2, D1, D2, D3, D4, 52 A1, A2, A3, A4, B3, B4, C3, C4, D1,D2, D3, D4, E1, E2, E3, E4, F1, F2, F3, F4 E1, E2, E3, E4, F1, F2, F3,F4 53 A1, A2, B1, B2, B3, B4, C1, C2, D1, D2, D3, D4, 54 A1, A2, B1, B2,B3, B4, C3, C4, D1, D2, D3, D4, E1, E2, E3, E4, F1, F2, F3, F4 E1, E2,E3, E4, F1, F2, F3, F4 55 A3, A4, B1, B2, B3, B4, C1, C2, D1, D2, D3,D4, 56 A3, A4, B1, B2, B3, B4, C3, C4, D1, D2, D3, D4, E1, E2, E3, E4,F1, F2, F3, F4 E1, E2, E3, E4, F1, F2, F3, F4 57 A1, A2, B1, B2, C1, C2,C3, C4, D1, D2, D3, D4, 58 A1, A2, B3, B4, C1, C2, C3, C4, D1, D2, D3,D4, E1, E2, E3, E4, F1, F2, F3, F4 E1, E2, E3, E4, F1, F2, F3, F4 59 A3,A4, B1, B2, C1, C2, C3, C4, D1, D2, D3, D4, 60 A3, A4, B3, B4, C1, C2,C3, C4, D1, D2, D3, D4, E1, E2, E3, E4, F1, F2, F3, F4 E1, E2, E3, E4,F1, F2, F3, F4

The present invention can be used when configuring a rank-3 precodingweight to have a PAPR of single-antenna transmission by using an antennacombination vector for combining two antennas and an antenna selectionvector for selecting one antenna from four physical antennas.

A transmitter transmits a codeword through a physical antenna byperforming encoding, modulation, layer mapping, DFT, precoding, resourcemapping, and OFDM signal generation. An output of a precoder included inthe transmitter is denoted by X(i)=[x⁽⁰⁾(i) x⁽¹⁾(i) x⁽²⁾(i)]^(T), and anoutput of the precoder is denoted by Y(i)=[y⁽⁰⁾(i) y⁽¹⁾(i) y⁽²⁾(i)y⁽³⁾(i)]^(T). If a precoding weight of the precoder is denoted by W(i),it can be expressed by Y(i)=W(i)·X(i). In this case, W(i) can beexpressed by Equation 18 below.W(i)=C(i)P _(k) , i=0, 1, . . . , M _(symb) ^(ap)−1, M _(symb) ^(ap) =M_(symb) ^(layer)  [Equation 18]

In Equation 18, P_(k)=P_(3k) and k=mod (s,6), where k=1, . . . , 6 and sis a symbol or slot index.

Herein, a permutation vector P_(3k) can be expressed by Table 44 below.

TABLE 44 (1) 1/2/3 (2) 1/3/2 (3) 2/1/3 $P_{31} = \begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1\end{bmatrix}$ $P_{32} = \begin{bmatrix}1 & 0 & 0 \\0 & 0 & 1 \\0 & 1 & 0\end{bmatrix}$ $P_{33} = \begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1\end{bmatrix}$ (4) 2/3/1 (5) 3/1/2 (6) 3/2/1 $P_{34} = \begin{bmatrix}0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0\end{bmatrix}$ $P_{35} = \begin{bmatrix}0 & 0 & 1 \\1 & 0 & 0 \\0 & 1 & 0\end{bmatrix}$ $P_{36} = \begin{bmatrix}0 & 0 & 1 \\0 & 1 & 0 \\1 & 0 & 0\end{bmatrix}$

In addition, C(i) can be expressed by Table 45 below.

TABLE 45 $C_{31} = {\alpha\begin{bmatrix}a & 0 & 0 \\{be}^{j\;\theta_{k}} & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1\end{bmatrix}}$ $C_{32} = {\alpha\begin{bmatrix}a & 0 & 0 \\0 & 1 & 0 \\{be}^{j\;\theta_{k}} & 0 & 0 \\0 & 0 & 1\end{bmatrix}}$ $C_{33} = {\alpha\begin{bmatrix}a & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\{be}^{j\;\theta_{k}} & 0 & 0\end{bmatrix}}$ $C_{34} = {\alpha\begin{bmatrix}0 & 1 & 0 \\a & 0 & 0 \\{be}^{j\; 0_{k}} & 0 & 0 \\0 & 0 & 1\end{bmatrix}}$ $C_{35} = {\alpha\begin{bmatrix}0 & 1 & 0 \\a & 0 & 0 \\0 & 0 & 1 \\{be}^{j\;\theta_{k}} & 0 & 0\end{bmatrix}}$ $C_{36} = {\alpha\begin{bmatrix}0 & 1 & 0 \\0 & 0 & 1 \\a & 0 & 0 \\{be}^{j\;\theta_{k}} & 0 & 0\end{bmatrix}}$

In Table 45, a is a power scaling factor, and may have any one of values{1, 1/2, 1/√2(, 1/root 2)}. a and b are power scaling factors, and mayhave any one of values {1, 1/2, 1/√2(, 1/root 2)}. exp(jθ_(k)) may havea complex value. For example, exp(jθ_(k)) may have a value {1, (1+j)/2,j, (−1+j)/2, −1, (−1−j)/2, −j, (1−j)/2} in case of 8PSK, a value {1, −1,j, −j}, in case of QPSK, and a value {1,−1} or {j, −j} in case of BPSK.

In Table 45, C₃₁, C₃₂, C₃₃, C₃₄, C₃₅, and C₃₆ respectively correspond tothe groups A, B, C, D, E, and F of Table 33. Therefore, elements of thegroups A, B, C, D, E, and F may be combined with the permutation vectorto configure a precoding weight. A signal is transmitted through anantenna obtained by combining two virtual antennas by selecting andusing any antenna combination matrices of Table 45 above. Layer swappingmay be achieved on a symbol or slot basis by using the permutationmatrix of Table 44 above so that the virtual antenna can experience anaverage spatial channel.

In case of multi-codeword transmission, different antenna combinationmatrices and permutation matrices are used on a symbol or slot basis, sothat each codeword can experience all antenna channels. In addition, afixed antenna combination matrix may be used, and different permutationmatrices may be used on a symbol or slot basis.

For example, in case of using a matrix C₂₁, an antenna #1 and an antenna#2 are combined, and thus data of three virtual antennas is transmittedthrough antennas #(1, 2), #3, and #4. Each virtual antenna canexperience channels of the physical antennas #1, #2, #3, and #4 by usingthe permutation matrix. When three codewords are mapped to each layer,each codeword can experience channels of physical antennas # 1 to #4.This can be expressed by Equation 19 below.W(i)=CP _(k,) i=0, 1, M _(symb) ^(ap)−1, M _(symb) ^(ap) =M _(symb)^(layer)  [Equation 19]

In Equation 19, P_(k) ⁼P_(3k) and k=mod(s,6), where k=1, . . . , 6. sdenotes a symbol or slot index. C implies that the same precoding weightis used irrespective of each symbol index. For example, in case of usingC=C₂₁, P_(k) is given by Table 46 below.

TABLE 46 virtual antenna P₃₁ P₃₂ P₃₃ P₃₄ P₃₅ P₃₆ 1 (1, 2) (1, 2) 3 3 4 42 3 4 (1, 2) 4 (1, 2) 3 3 4 3 4 (1, 2) 3 (1, 2)

The permutation matrix may use only a subset. For example, if a codeword1 is mapped to a first layer and a codeword 2 is mapped to two layers(e.g., a second layer and a third layer) in a system having twocodewords, by using three matrices of (P₃₁, P₃₃, P₃₅), the codeword 1may experience a channel of physical antennas #(1, 2), #3, and #4 andthe codeword 2 may experience a channel of physical antennas #3 or #4,#(1, 2) or #4, and #(1, 2) or #3.

Such a case can be expressed by Equation 20 below.W(i)=CP _(k,) i=0, 1, M _(symb) ^(ap)−1, M _(symb) ^(ap) =M _(symb)^(layer)  [Equation 20]

In Equation 20, P₁=P₃₁, P₂=P₃₃, P₃=P₃₅, and k=mod(s,3), where k=1, . . ., 3. s denotes a symbol or slot index.

TABLE 47 virtual antenna P₃₁ P₃₃ P₃₅ 1 (1, 2) 3 4 2 3 (1, 2) (1, 2) 3 44 3

For another example, if a codeword 1 is mapped to a first layer and acodeword 2 is mapped to two layers (e.g., a second layer and a thirdlayer) in a system having two codewords, each codeword may experience achannel of physical antennas # (1, 2), #3, and #4 by using threematrices of (P₃₁, P₃₄, P₃₅). Such a case is expressed by Equation 21below.W(i)=CP _(k,) i=0, 1, M _(symb) ^(ap)−1, M _(symb) ^(ap) =M _(symb)^(layer)  [Equation 21]

In Equation 2, P₁=P₃₁, P₂=P₃₄, P₃=P₃₅, and k=mod(s,3), where k=1, . . ., 3. s denotes a symbol or slot index.

Although it is described that each codeword experiences a channel of aphysical channel by using a permutation matrix, the present invention isnot limited to the use of the permutation matrix. A method depending ona specific rule for changing a column to which each symbol stream mappedto a column of a precoding matrix is mapped on a time basis can also beincluded in the present invention.

FIG. 8 is a block diagram showing constitutional elements of a UE. A UE50 includes a processor 51, a memory 52, a radio frequency (RF) unit 53,a display unit 54, and a user interface unit 55. The UE 50 may employ aplurality of Tx antennas.

Layers of a radio interface protocol are implemented in the processor51. The processor 51 provides a control plane and a user plane. Afunction of each layer can be implemented in the processor 51. Theprocessor 51 can implement the proposed precoding method. The memory 52is coupled to the processor 51 and stores operating systems,applications, and general files. The memory 52 can store a codebookdefined to support codebook-based precoding. The display unit 54displays a variety of information of the UE and may use a well-knownelement such as a liquid crystal display (LCD), an organic lightemitting diode (OLED), etc. The user interface unit 55 can be configuredwith a combination of well-known user interfaces such as a keypad, atouch screen, etc. The RF unit 53 is coupled to the processor 51 andtransmits and/or receives radio signals.

Layers of a radio interface protocol between the UE and the network canbe classified into L1 layer (a first layer), L2 layer (a second layer),and L3 layer (a third layer) based on the lower three layers of the opensystem interconnection (OSI) model that is well-known in thecommunication system. A physical layer (or simply a PHY layer) belongsto the first layer and provides an information transfer service througha physical channel. A radio resource control (RRC) layer belongs to thethird layer and serves to control radio resources between the UE and thenetwork. The UE and the network exchange RRC messages via the RRC layer.

All functions described above may be performed by a processor such as amicroprocessor, a controller, a microcontroller, and an applicationspecific integrated circuit (ASIC) according to software or program codefor performing the functions. The program code may be designed,developed, and implemented on the basis of the descriptions of thepresent invention, and this is well known to those skilled in the art.

While the present invention has been particularly shown and describedwith reference to exemplary embodiments thereof, it will be understoodby those skilled in the art that various changes in form and details maybe made therein without departing from the spirit and scope of theinvention as defined by the appended claims. The exemplary embodimentsshould be considered in descriptive sense only and not for purposes oflimitation. Therefore, the scope of the invention is defined not by thedetailed description of the invention but by the appended claims, andall differences within the scope will be construed as being included inthe present invention.

1. A method for transmitting a signal in a multiple antenna system, themethod performed at a transmitter and comprising: pre-coding the signalbased on a codebook, the codebook comprising pre-coding matrices, thepre-coding matrices including ${\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\{- 1} & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\{- 1} & 0 & 0 \\0 & 0 & 1\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\{- 1} & 0 & 0\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\1 & 0 & 0 \\0 & 0 & 1\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\{- 1} & 0 & 0 \\0 & 0 & 1\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1 \\1 & 0 & 0\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1 \\{- 1} & 0 & 0\end{bmatrix}},{{\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0 \\1 & 0 & 0\end{bmatrix}}\mspace{20mu}{and}}$ ${\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0 \\{- 1} & 0 & 0\end{bmatrix}};$  and transmitting the pre-coded signal using a radioresource.
 2. The method of claim 1, wherein the pre-coding matricesconsist of ${\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\{- 1} & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\{- 1} & 0 & 0 \\0 & 0 & 1\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\{- 1} & 0 & 0\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\1 & 0 & 0 \\0 & 0 & 1\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\{- 1} & 0 & 0 \\0 & 0 & 1\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1 \\1 & 0 & 0\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1 \\{- 1} & 0 & 0\end{bmatrix}},{{\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0 \\1 & 0 & 0\end{bmatrix}}\mspace{14mu}{and}}$ ${\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0 \\{- 1} & 0 & 0\end{bmatrix}}.$
 3. The method of claim 1, wherein the radio resourcecomprises a Single-Carrier Frequency Division Multiple Access (SC-FDMA)signal.
 4. The method of claim 1, wherein the codebook is for rank 3transmission.
 5. The method of claim 1, wherein the pre-coded signal istransmitted via four transmit antennas.
 6. The method claim 1, whereinthe transmitter is implemented in a user equipment.
 7. A user equipmentcomprising: a pre-coder for pre-coding a signal based on a codebook, thecodebook comprising pre-coding matrices, the pre-coding matricesincluding ${\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\{- 1} & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\{- 1} & 0 & 0 \\0 & 0 & 1\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\{- 1} & 0 & 0\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\1 & 0 & 0 \\0 & 0 & 1\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\{- 1} & 0 & 0 \\0 & 0 & 1\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1 \\1 & 0 & 0\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1 \\{- 1} & 0 & 0\end{bmatrix}},{{\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0 \\1 & 0 & 0\end{bmatrix}}\mspace{20mu}{and}}$ ${\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0 \\{- 1} & 0 & 0\end{bmatrix}};$  and a transmitter for transmitting the pre-codedsignal using a radio resource.
 8. The user equipment of claim 7, whereinthe pre-coding matrices consist of ${\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\{- 1} & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\{- 1} & 0 & 0 \\0 & 0 & 1\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1 \\{- 1} & 0 & 0\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\1 & 0 & 0 \\0 & 0 & 1\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\{- 1} & 0 & 0 \\0 & 0 & 1\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1 \\1 & 0 & 0\end{bmatrix}},{\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\1 & 0 & 0 \\0 & 0 & 1 \\{- 1} & 0 & 0\end{bmatrix}},{{\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0 \\1 & 0 & 0\end{bmatrix}}\mspace{20mu}{and}}$ ${\frac{1}{2}\begin{bmatrix}0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0 \\{- 1} & 0 & 0\end{bmatrix}}.$
 9. The user equipment of claim 7, wherein the radioresource comprises a Single-Carrier Frequency Division Multiple Access(SC-FDMA) signal.
 10. The user equipment of claim 7, wherein thecodebook is for rank 3 transmission.
 11. The user equipment of claim 7,wherein the pre-coded signal is transmitted via four transmit antennas.12. A method for transmitting a signal in a multiple antenna system, themethod performed at a transmitter and comprising: pre-coding the signalbased on a codebook comprising pre-coding matrices, each pre-codingmatrix containing a first column including two nonzero elements, asecond column including one nonzero element, and a third columnincluding one nonzero element; and transmitting the pre-coded signalusing a radio resource, wherein the codebook is a 4-Tx rank 3 codebook,the nonzero elements of the first column are selected from orthogonalvector sets, and each row vector of the pre-coding matrices contains onenonzero element and two zero elements.
 13. The method of claim 12,wherein the orthogonal vector sets are determined based on a BinaryPhase Shift Keying (BPSK) scheme.
 14. The method of claim 12, whereineach of the pre-coding matrices further contains a normalization factor,which is ½.
 15. The method of claim 12, wherein the first column is anantenna combination vector and the second and third columns are anantenna selection vector.
 16. The method of claim 12, wherein thecodebook consists of 12 different pre-coding matrices.